Quiz about System of Equations Word Problems with Money

Question 1

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

Accepted Answer

t: Cost of each taco
m: Cost of each glass of milk

Answer

t: # of tacos
m: # of glasses of milk

Answer

t: total cost
m: # of food items

Answer

t: Cost of each glass of milk
m: Cost of each taco

Question 2

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Accepted Answer

Sugar Cookies $4
Oatmeal Cookies $8

Answer

Sugar Cookies $5
Oatmeal Cookies $3

Answer

Sugar Cookies $2
Oatmeal Cookies $6

Answer

Sugar Cookies $3
Oatmeal Cookies $6

Question 3

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?

Accepted Answer

x + y = 6
14.80x + 17y = 91

Answer

x + y = 91
14.80x + 17y = 6

Answer

x + y = 6
14.80y + 17x = 91

Answer

x + y = 91
14.80x+ 17y = 6

Question 4

Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

Accepted Answer

(3, 19)

Answer

(1, 12)

Answer

(5, 25)

Answer

(0, 10)

Question 5

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

Accepted Answer

4x + 7y = 3365
x + y = 578

Answer

4x + 7y = 578
x + y = 3365

Answer

4y + 7x = 578
x + y = 3365

Answer

4y + 7x = 3365
x + y = 578

Question 6

Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spend $5 more than Michael for 5 tigerfish and 10 goldfish. Write a system of equations that could be use the find t, the price of a tigerfish and g, the price of a goldfish.

Accepted Answer

$$6t+8g=50$$
$$5t+10g=55$$

Answer

$$8t+6g=50$$
$$10t+5g=55$$

Answer

$$6t+8g=50$$
$$5t+10g=45$$

Answer

$$8t+6g=50$$
$$10t+5g=45$$

Question 7

Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn she mows. Sarah earned $140 for mowing 6 lawns. Write a system of equations that could be used to find x, small lawns and y, large lawns Sarah mowed.

Accepted Answer

$$20x+30y=140$$
$$x+y=6$$

Answer

$$30x+20y=140$$
$$x+y=6$$

Answer

$$50\left(x+y\right)=140$$
$$x+y=6$$

Answer

$$x+y=140$$
$$x+y=6$$

Question 8

The drama club is selling tickets to its play. The cost of an adult ticket is $4.50, and the cost of a student ticket is $2.50. The theater can hold 250 people and they want to make $1,005. Write a system of equations that could be used to find x, the number of adult tickets and y, the number of student tickets.

Accepted Answer

$$4.50x+2.50y=1,005$$
$$x+y=250$$

Answer

$$4.50x+2.50y=250$$
$$x+y=1,005$$

Answer

$$2.50x+4.50y=1,005$$
$$x+y=250$$

Answer

$$2.50x+4.50y=250$$
$$x+y=1,005$$

Question 9

The Spanish Club is selling tacos for a fundraiser. One student sold 12 chicken tacos and 15 beef tacos and raised $61.23. Another student raised $13.45 more than the first student by selling 10 chicken tacos and 22 beef tacos. Write a system of equations that could be used to find c, the price of chicken tacos and b, the price of beef tacos sold in the fundraiser.

Accepted Answer

$$12c+15b=61.23$$
$$10c+22b=74.68$$

Answer

$$12c+15b=61.23$$
$$10c+22b=47.78$$

Answer

$$15b+12c=61.23$$
$$22c+10b=74.68$$

Answer

$$15b+12c=61.23$$
$$22c+10b=47.78$$

Question 10

Caitlin won a bag full of money at the fundraiser party! She won 49 bills that amounted to $1430. The bills consist of twenty dollar bills and fifty dollar bills. Using x for number of $20 bills and y for number of $50 bills, which systems would help determine how many of each bill Caitlin has?

Accepted Answer

x + y = 49

20x + 50y = 1430

Answer

x + y = 1430

20x + 50y = 49

Answer

x + y = 49

10x + 5y = 1430

Answer

x + y = 49

x + y = 1430

Question 11

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which two equations can you use to determine how many sodas and nachos David sold if n represents number of nachos and s represents number of sodas?

Accepted Answer

n + s = 87

Accepted Answer

1.50n + 0.50s = 78.50

Answer

n + s = 78.50

Answer

1.50n + 0.50s = 87

System of Equations Word Problems with Money

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