Answer:
Kendra has 10 dimes and 30 quarters.
Step-by-step 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.
