Question

You have a total of 49 dimes and quarters. You have 7 more quarters than dimes. Which system of equations can you use to find the number x of quarters and number y of dimes you have? Use the system to determine how much money you have in quarters and dimes.

Answer 1

x = y + 7
49 = x + y
49 = y + y + 7
49 = 2y + 7
42 = 2y
y = 21
x = 21 + 7
You have 21 dimes and 28 quarters

Answer 2

21 dimes and 28 quarters

Explanation:

To determine the number of quarters and dimes that you have, you can write the following equations:

x+y= 49 (1)

y= 7+x (2)

x= number of dimes

y= number of quarters

You have to replace 2 in 1:

x+(7+x)= 49

2x= 49-7

x= 42/2= 21

y= 7+21

y= 28

You have 21 dimes and 28 quarters.