Question

Kendra has $8.50 in dimes and quarters. If she has 3 times as many quarters as dimes, how many of each coin does she have?

Answer 1

Kendra has 10 dimes and 30 quarters.

Explanation:

From the information given and considering that a dime is $0.10 and a quarter is $0.25, you can write the following equations:

0.10x+0.25y=8.50 (1)

y=3x (2)

x is the number of dimes

y is the amount of quarters

First, you can replace 2 in 1 and solve for x:

0.10x+0.25(3x)=8.50

0.10x+0.75x=8.50

0.85x=8.50

x=8.50/0.85

x=10

Then, you can replace the value of x in 2 to find the value of y:

y=3*10

y=30

According to this, the answer is that Kendra has 10 dimes and 30 quarters.