The manager of a farmers market has 500 lb of grain that costs $1.20 per pound. How many pounds of meal costing 8.80 per pound should be mixed with the 500 lb of grain to produce a mixture that costs $1.05 per pound?

Q: A grocer is mixing 40 cent per lb. coffee with 60 cent per lb. coffee to make a mixture worth 54…

A: Given ,  A grocer is mixing 40 cent per lb. coffee with 60 cent per lb. coffee to make a mixture…

Q: How many liters of a 60% acid solution must be added to 14 liters of a 10% acid solution to produce…

A: Given Let

Q: A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4…

A: Let x pounds of Pistachios is mixed with y pounds of Walnuts.

Q: With 2.4 mil subscribers, a top- ranked magazine has 1140% more digital subscribers than a magazine…

A: Suppose, the magazine ranked third has x million subscribers Therefore, the top-ranked will have…

Q: A high-protein diet supplement that costs $6.75 per pound is mixed with avitamin supplement that…

A: Let x lb of high-protein diet supplement and (5-x) lb of vitamin supplement were mixed.  The…

Q: pounds

A:

Q: How many gallons of a 4% salt solution must be mixed with 65 gallons of a 26% solution to obtain a…

A:

Q: How many liters of 40% acid solution must be mixed with 10 liters of a 65% acid solution to get a…

A: Given Let Then according to problem

Q: A 100 LB bag of animal feed is 40% oats. How many pounds of oats must be added to this feed to…

A: Given 100 lb animal feed have 40% oats then amount of oats in the animal feed is given by,

Q: A food chemist wants to mix some of Mixture A, which contains 10% sugar, with some of Mixture B,…

A:

Q: A dairy farmer wants to mix a 40% protein supplement and a standard 20% protein ration to make 1000…

A: This question can be solved using the concept of system of linear equation.

Q: The number of aluminum cans used each year varies directly as the number of people using the cans.…

A:

Q: How many pounds of coffee worth $7 per pound should be added to 14 pounds of coffee worth $4 per…

A: Here we have to find the pounds of 7$ cofee to be mixed

Q: The owner is trying to make a mixture of 100lbs of these candies to sell at $3 per lb. If the gummy…

A: According to the given information,

Q: A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to…

A:

Q: A garden store sells Kentucky bluegrass seed for $7 per pound and ryegrass seed for $2 per pound.…

A: It is given that bluegrass seed is sold for $7 per pound and ryegrass seed is sold for $2 per pound.…

Q: A chemist needs to mix a 12% acid solution with a 32% acid solution to obtain an 8‐liters mixture…

A:

Q: The amount of money spent on a pizza for club activities varies directly with the number of pizzas…

A: First calculate the price for one pizza then divide the total amount by price of one pizza.

Q: The manager of bulk foods establishment sells a trail mix for $8 per pound and premium cashews for…

A:

Q: A wild birdseed mix is made by combining 150 lb of millet seed costing $0.40 per pound with…

A: Let L be the lower concentration of available material.     H be the higher concentration of…

Q: A 12-ton mixture consists of one-sixth sand, two-sixths gravel, and one-half cement. If x tons of…

A:

Q: A grocer is mixing 40 cent per lb. coffee with 60 cent per lb. coffee to make a mixture worth 54c…

A: Let x lb of 40 cent coffee and (70-x) lb of 60 cent coffee should be mixed.  So total cost is:…

Q: Your friend wants to make some Arnold Palmer that has the same exact taste as yours, so the ratio of…

A: Given that, 20 oz of Arnold palmer is made up of 12 oz of iced tea and 8 oz of lemonade. A Friend…

Q: A chemist needs to mix a 36% salt solution with a 77% salt solution to make 40 liters of a 53% salt…

A: Consider the provided question, A chemist needs to mix a 36% salt solution with a 77% salt solution…

Q: A grocer needs to mix raisins at $2 per lb with granola at $3.25 per lb to obtain 10 lbs of a…

A: To form equations for the required unknowns and thereby solve for their values

Q: How many pounds of a 4% solution of borax must be added to 24 pounds of a 12% solution of borax to…

A:

Q: How much of a 90% orange juice drink must be mixed with 12 gallons of a 40% orange juice drink to…

A: To be found : Amount of a 90% orange juice drink must be mixed with 12 gallons of a 40% orange juice…

Q: A photographer wants to mix 4 liters of a 6% acetic acid solution with a 10% solution to get a 7%…

A: Let x be the amount of 10% solution required.So, according to question:0.06(4) + 0.1x=0.07(x+4)

Q: A goldsmith combined an alloy that costs $4.40 per ounce with an alloy that costs $1.90 per ounce.…

A: Given A goldsmith combined an alloy that costs $4.40 per ounce with an alloy that costs $1.90 per…

Q: At Jimmy-Joe's French Bistro, they buy their red wine in a concentrate form which is 33% alcohol by…

A: Let, they mix x liters of concentrated wine with cheap red wine to prepare 200 liters of the 15%…

Q: A grocer wishes to mix sugar at 9 cents per pound with sugar at 6 cents per pound to make 60 pounds…

A:

Q: A store sells cashews for $6.00 per pound and peanuts for $1.00 per pound. The manager decides to…

A:

Q: A grocery store offers a cheese and fruit sampler that combines cheddar cheese that costs $8 per…

A:

Q: One and one half ounces of a medication are required for a 160-pound adult. At the same rate, how…

A:

Q: one safe investment pays 10% per year, and a riskier investmnet pays 18% per year,. a women has…

A:

Q: A garden store sells Kentucky bluegrass seed for $6 per pound and ryegrass seed for $3 per pound.…

A: Given,Price of bluegrass seed = $6/poundPrice of ryegrass seed = $3/poundPrice of mixture =…

Q: A chemist must mix 10L of a 40%acid solution with some 70% solution to get a 50% solution. How much…

A: A chemist must mix 10L of a 40%acid solution with some 70% solution to get a 50% solution. Let x L…

Q: A photographer wants to mix 2 liters of a 5% acetic acid solution with a 10% solution to get a 7%…

A: Let x be required amount of 10% solution.

Q: What quantity of 70 percent acid solution must be mixed with a 30 percent solution to produce 600 mL…

A:

Q: A pharmacist wants to mix a 30% saline solution with a 10% saline solution to get 200 mL of a 12%…

A: Let x be the amount of 30% saline solution and y be the amount of 10% saline solution.

Q: A garden store sells Kentucky bluegrass seed for $9 per pound and ryegrass seed for $3 per pound.…

A: Given:A garden store sells Kentucky bluegrass seed for $9 per pound and ryegrass seed for $3 per…

Q: A brand of coffee beans cost 150 pesos per kilo, while the premium coffee beans cost 675 pesos per…

A: mixtures

Q: A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $7 a pound…

A: Assume x = lbs. of coffee at $7 per lb.   Now let's write an equation the cost of mixing the $7 per…

Q: A photographer wants to mix 4 liters of a 7% acetic acid solution with a 12% solution to get a 9%…

A: Let x be the volume of the 12% solution.

Q: How many pounds of a 35 percent salt solution and how many pounds of a 14 percent  salt solution…

A: I think it's 20 percent on the  place of 2 percent... something missing in question  ... Please…

Q: The Coffee Counter charges $11 per pound for Kenyan French Roast coffee and $10 per pound for…

A: Form the system of linear equations in two variables and solve them.

Q: What quantity of a 70% acid solution must be mixed with a 40% solution to produce 150 mL of a 60%…

A: Given.

Q: A coffee company wants a new flavor of Cajun coffee . How many pounds of coffee worth $7 a pound…

A:

Q: A sugar molecule has twice as many atoms of hydrogen as it does oxygen and one more atom of carbon…

A: let the number of molecules of oxygen be x  Then the number of molecules of oxygen will be 2x and…

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.