Question

Suppose tom has 22 coins totaling $3.70. if he has only dimes and quarters, how many of each type does he have?

Answer 1

The first thing we must do for this case is to define variables:
x: dimes
y: quarters
We now write the system of equations.
We have then:
x + y = 22
0.10x + 0.25y = 3.70
Solving the system of equations we have:
x = 12
y = 10
Answer:
He has:
12 dimes
10 quarters