Systems of Equations Word Problems

Front

A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?

Back

Front

-4x + y = 4; 4x - 3y = 12

Back

y=-8

Front

Back

Front

A customer at a store paid $64 for 3 large candles and 4 small candles. A second customer paid $4 more than the first customer for 1 large candle and 8 small candles. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

Back

3x + 4y = 64, x + 8y = 68

Front

Alexandra's haircuts and hair dyes time: 3 haircuts + 2 hair dyes = 315 minutes, 2 haircuts + 4 hair dyes = 450 minutes. Which system of equations represents this situation?

Back

3x + 2y = 315
2x + 4y = 450

Front

Equations to determine the cost of coffee from Joe's purchases: 10 cups of coffee and 5 doughnuts for $16.50; 5 cups of coffee and 10 doughnuts for $14.25.

Back

10c + 5d = 16.50; 5c + 10d = 14.25

Front

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

Back

d + n = 80
.10d + .05n = 6.60

Front

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

Back

x + y = 1550

y = 4x

Front

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

Back

3s + 1c = 38

3s + 2c = 52

Front

System of equations for restaurant costs: $2.10 for 1 taco + 1 milk, $5.15 for 2 tacos + 3 milks. What do t and m represent?

Back

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