A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 150 nails and each large box has 400 nails. The contractor bought 2 more small boxes than large boxes, which altogether had 1950 nails. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Q: Define your variables, write a system of equations, use your calculator to solve the system of…

A: By eliminating the equation x=10 lbs y=15lbs z=25lbs

Q: At East High School, there are a total of 1050 students in the freshman and sophomore classes. The…

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Q: Michelle invested $18,000. Part of it was invested at 3% annual simple interest, and the rest was…

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A: We can set up system of equations as below

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A: My friend Umpt bought some vreels for $2 each and some boondins for $4 each.The total cost was about…

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Q: Yesterday, two friends went into a bank to open savings accounts. Perry started by putting $50 in…

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Q: a green house has 70% nitrogen fertilizer and a 25% nitrogen fertilizer. How many liters of each…

A: Let x liters of 70% nitrozen fertilizer and y liters of 25% nitrozen fertilizer be mixed.

Q: Which system of equations will yield the same solution as the system below? x-y=3 2x - 3y = -1

A: We have to find the solution of the given equation.

Q: Find all the solutions of the system of equations X, + 2x, – x3 = 1, 3x, – 2x, + 2x, = 2, 7x, – 2x,…

A: In the given system of equation replacing x1 by x, x2  by y and x3 by z , we get…

Q: Consider the system of equations a' = µx + y – x(x² + y³), y' = -x + µy – y(x² + y³),

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Q: Blake and Jacob went shopping for back to school clothes. Blake bought three shirts and one pair of…

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Q: Elizabeth and her children went into a grocery store and she bought $14 worth of apples and bananas.…

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Q: A paper company needs to ship paper to a large printing business. The paper will be shipped in small…

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Q: 3x - y = -12 2x + y = 2

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Q: A pit at a recreational center contains a total of 2975 red and purple balls. There are 225 more…

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Q: Suppose that you invest $13100.00 between two accounts. The first account is safer and yields 4.2%…

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Q: Mila is working two summer jobs, making $10 per hour washing cars and $11 per hour landscaping. Last…

A: Given Let M represent Car Washing Let L represent Landscaping

Q: The school athletic director had a budget of $703.55 to purchase 55 items for the volleyball team.…

A: The school athletic director had a budget of $703.55 to purchase 55 items for the volleyball team.…

Q: Hunter owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each…

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Q: A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20%…

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Q: At a college production of a play, 480 tickets were sold. The ticket prices were $8, $10, and $12,…

A: To determine the number of tickets of each type sold.

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A: Let x be no. of  hours Hannah worked lifeguard last week. Let y be no. of  hours Hannah worked…

Q: A food serverearns tips after working an 8-hour shift. The server has a total of $95 in…

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Q: nsider the following system of linear equations. - 5x- 30y = 25 - 6x- 34y= 24

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Q: A law firm is going to designate associates and partners to a big new case. The daily rate charged…

A: Let x be the number of associates assigned to the case and y be the number of partners assigned to…

Q: Last Tuesday, Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets…

A: Let us assume,m = senior tickets,s = student tickets,r = regular tickets Information given in…

Q: Solve the system: 3x2 + 2y2 = 35, 4x2 + 3y2 = 48.

A: We have to solve the system of equation: 3x2+2y2=35    ...........14x2+3y2=48    ............2…

Q: Jose is working two summer jobs, making $10 per hour washing cars and $9 per hour walking dogs. Last…

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Q: You begin with $90 in your savings account and your friend begins with $35 in her savings account.…

A: Given:     I started with $90.     ∴ a=90and $10 deposit per week.   i.e  d=10and n represents the…

Q: What is the solution set of this system of equations?  x2+y-1=0                          x-y+1=0

A: Given equations

Q: Solve the system of linear equation.x − y = 9 −x + y = 1

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Q: teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92. THe other teacher…

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Q: Translate to a system of equations and solve. The total number of calories in 2 hot dogs and 3 cups…

A: Here given  Calories in 2 hot dogs and 3 cup of cottage cheese = 950 and  Calories in 5 hot dogs and…

Q: Ralph spent $132 to buy movie tickets for 20 students and 4 adult chaperones. Adult tickets cost $3…

A: Given :Ralph spent $132 to buy movie tickets for 20 students and 4 adult chaperones.Adult tickets…

Q: Jaime burned 2200 calories Friday playing three hours of basketball and canoeing for one hour.…

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Q: Callie buys some food for her pets. Cat food costs $1.57 per pound. Dog food costs $2.19 per pound.…

A: To find: The system of equations. Given: The cost of Pet C foods is $1.57 per pound and the cost of…

Q: What is the solution to this system of equations?     3x-y+5=0                         2x+3y-4=0

A: Name the two equations as (1) and (2),   Reframe equation (1) in the form y=mx+c

Q: A restaurant sold a total of 418 large and small hamburgers in one day.  Total hamburger sales were…

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Q: X'(t) = -3 -2 X(t). 8 -5 -4 -4 3 3

A:

Q: 4. The Jones family goes to Happy Burger and orders 5 hamburgers and 2 fries for a total of $13.00.…

A: Let the cost of hamburger be $x and cost of fries be $y. jones family order 5 hamburger and 2 fries…

Q: Slove the system of equation. {  x + 9y = -30  -5x + 8y = - 62

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Q: Gabriel is raising money for a school trip by selling lollipops and bags of chips. The price of each…

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Q: Arianna and her friend Alexa are going to a carnival that has games and rides. Arianna played 6…

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Q: ric and Leo are racing to see who can get his community service hours for scouting completed first.…

A: Given that: Eric has already completed 10 hrs and will work 1 hr/week.Leo hasn't started yet and…

Q: A total of 243 adults and children are at a movie theater. There are 109 more adults than children…

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Q: Suppose you have 25 coins in nickels and dimes only and have a total of $1.65. How many of each coin…

A: Let x be the number of nickels and y be the number of dimes.Using this variables formulate the…