A mixture of red, green, and blue shirts was kept in a box. 2/5 of the shirts were red. When half of the shirts were taken out and 6 blue shirts were put into the box, the new ratio of red shirts to green shirts to blue shirts became 8: 9: 12. How many red shirts were there at first?

Q: There are 47 students in a classroom, and the desired ratio of students to computers is 6 to 1. How…

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Q: How many items are demanded at a price of $30?

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Q: There were some sweets in Bags A, B and C. Tom moved 1/3 of the sweets in Bag A to Bag B. Later, he…

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Q: In a garden, 1/3 of the roses were red, while the rest of the roses were yellow and white. When 45…

A: In a garden 13 of the roses are red while rest of them are yellow and white roses. 45 red roses were…

Q: The ratio of boys to girls in the class was 3 to 2. If there were 12 boys, how many girls were…

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Q: A recipe requires 5 5/8 cups of milk. Ran put in 1 7/8 cups and emptied a container. How much more…

A:

Q: A chemist has two alloys of bronze, one that is 12% tin and 88% copper, and a second that is 10% tin…

A: Given, 12% tin and 88% copper in alloy 1. 10% tin and 90% copper in alloy 2. Consider 100 g quantity…

Q: A plumber has some pure lye and wants to add it to 1 quart of 50% lye. If the plumber needs 60% lye,…

A: Given pure lye added to 1 quart of 50% lye. To find how much pure lye should be added to make 60%…

Q: How many different bowls of ice cream can you make with 6 flavours and 5 scoops such that you have…

A: We have given that, there are 6 flavor in which one is chocolate.   We have to make ice-cream bowl…

Q: One canned juice drink is 20% orange juice; another is 5% orange juice.  How many liters of each…

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Q: The ratio of men to woman working for a company is 8 to 5. If there are 234 employees total , how…

A:

Q: The ratio of sparrows to finches at the bird feeder is 3 to 4. If there were 12 sparrows, how many…

A:

Q: In an election contested between A and B, A obtained votes equal to twice the number of persons on…

A: Given:In an election contested between A and B, A obtained votes equal to twice the number of…

Q: In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The…

A: The necessary calculation are given in the picture Here is given that the ratio of new car & pre…

Q: You have one type of nut that sells for $2.50/lb and another type of nut that sells for $5.00/lb.…

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Q: Bruce and Cruz had 294 bookmarks altogether. Bruce gave away 3/8 of his bookmarks and Cruz gave away…

A: Let the number of bookmarks Bruce has = B The number of bookmarks Cruz has = C therefore B+C=294…

Q: How many different bowls of ice cream can you make with 8 flavours and 5 scoops such that you have…

A: Given: Number of flavors = 8 Number of scoops = 5

Q: When Charles was born, his father was 25 vears old. Five years ago, ete ratio of Charles' age to…

A: Let present age of Charles is x years. Then present age of Charles' father is x+25 years. Now Five…

Q: A class of 25 students includes 12 boys. Does the ratio of girls to students represent a fraction?…

A: Given data :Number of students in a class=25which includes 12 boys .

Q: John and Michael want to arrange the letters of the word MISSISSIPPI and PHILIPPINES respectively.…

A: Given  The letters of the word MISSISSIPPI and PHILIPPINES are arranged by John and Michael.

Q: A patient needs 2mg of a medication. The Australian Injectables Drug Handbook states that each gram…

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Q: A host served two pies, one apple and one cherry. Dinner guests ate twenty-five percent of the apple…

A: option (A)  is correct. See below the answer and expanation

Q: A certain amount of money is devided among three boys. The first boy receives 1/3 of the money and…

A: say Some of money  = 9M   first gets one third of it   hence first one get = 9M/3  =  3M…

Q: 1. How much of an 18% saltwater mixture should be added to a 15 gallon 2% saltwater mixture to…

A: Given: How much of an 18% saltwater mixture should be added to a 15 gallon 2% saltwater  mixture to…

Q: There are some marbles in a box. 1/3 of the marbles were black, while the rest are white and grey,…

A: Suppose there were x number of black marbles in the box. And then 30 black marbles were exchanged…

Q: And from this solution, what percentage of times are between 22 & 46 minutes? What percentage is…

A: Given that Population mean=34 minutes  Standard deviation =6 minutes  We have to find the percentage…

Q: If the airline sells 644 tickets on the night flights, how many unsold tickets can the airline…

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Q: b) The ratio of green to white candles is 2:5. If there are 32 green candles, how many white candles…

A: Simple calculation

Q: A chemist conducted an experiment on compounds. He mixed 30% of 8.46 grams of one compound with 75%…

A: Let's find.

Q: In 1 km² of forest there are 2 coyotes. If the ratio coyotes to mice is 1:150. How many mice would…

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Q: A 40 gram alloy containing 35% gold is to be melted with a 20 gram alloy containing 50% gold. How…

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Q: he ratio of men to women working for a company is 7 to 4 . If there are 165 employees total, how…

A: Given that  The ratio of men to women working for a company is 7 to 4 Men : Women = 7 : 4 Total = 7+…

Q: A fraction which is bears the same ratio to 1/27 as 3/11 bear to 5/9 is equal to

A:

Q: In a certain company the ratio of men to women is 5:3. What is the fraction of employees that are…

A: Given that the ratio of men to women is 5:3

Q: Green Coffee revealed that the ratio of customers who purchase different coffee-based drinks:…

A: Given: Number of drinks that are sold in a day = 630 Ratio for coffee is given as 4:9:7:6 Sum is:…

Q: A box of cookies was shared between Jesse and Linn in the ratio of 7:4. Linn then decided to share…

A:

Q: A denim shirt at a certain factory requires 2 and one fifth yards of material. How many shirts can…

A: Given, A denim shirt at a certain factory requires 2 and one fifth yards of material.

Q: A certain recipe calls for 3/4 cup of milk. To make half of the recipe, how much milk is needed?

A: Given: A certain recipe calls for 3/4 cup of milk.

Q: An experiment calls for a 5% salt solution. Only a 3% salt solution and an 8% salt solution are…

A: An experiment calls for a 5% salt solution. Only a 3% salt solution and an 8% salt solution are…

Q: ANALYZE The team's win-loss ratio is 4 to 3. If the team has won 12 games, how many games has the…

A: Given : The team win-loss ratio is 4:3

Q: Lemonade is made by mixing lemon juice and water in the ratio of 2 to 3. How many glasses of lemon…

A: According to the given information, lemonade is made in the ratio of 2:3 where 2 is the part of…

Q: The ratio of cats to dogs at April’s Animal Shelter was 3 to 2.  How many dogs were in the shelter…

A: Given that: Ratio of Cats to Dog = 3:2                   Total Cats and Dog = 75

Q: The ratio of pears to green apples is 1:3 if there are 150 green apples how many pears are there

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Q: At a cost of $12$⁢12 per pound, how many ounces of rolled oats can be bought for $3.15$⁢3.15?

A: 1 pound = 16 ounces  cost $12 per pound

Q: A chemist has two alloys, one of which is 5% gold and 10% lead and the other which is 20% gold and…

A: Given,          A chemist has two alloys, one of which is 5% gold and 10% lead and the other which…

Q: Every musician in the band plays either the fife or the drum (but not both). The ratio of fifers to…

A: Every musician in the band plays either the fife or the drum (but not both). Given the ratio of…

Q: If baby 1 gains 1.2 in one month, and baby 2 gains 400g in one month, what is the ratio?

A: If baby 1 gains 1.2 in one month, and baby 2 gains 400g in one month, what is the ratio?

Q: A small, test batch of lemonade used cup of sugar added to 1 cup of water and 4 tablespoons of lemon…

A: In the test batch, the ratios of cups of sugar, water, and tablespoon of lemon juice is 12:1:4…

Q: Maria and Akshara divide some money in a ratio of 4:1, repectively. If Akshara gives Maria $5, then…

A: Maria get=$4x  Akshra get = x  Akshara gives Maria $5 then Maria total money becomes =$(4x+5)

Q: A tank contains 800 liters of fresh water. Brine containing 2.5 N/L of salt enters the tank at 20…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.