Answer
7 dimes and 12 quarters
Work Step by Step
Let call d the numbers of dimes and q the numbers of quarters
dime is worth 10 cents and quarter is worth 25 cents
Given: 10x+25y=370
y=x+5
10x+25(x+5)=370 (Substitution)
10x+25x+125=370
35x=245
x=7
10(7)+25y=370
70+25y=370
25y=300
y=12