Answer
12 quarters and 7 dimes.
Work Step by Step
x=numbers of dimes, y=number of quarters.
The total value of dimes and quarters is 370, so 10x+25y=370.
The number of quarters is 5 coins more than dimes so y=x+5
Equations: 10x+25y=370, y=x+5. Use substitution to solve:
10x+25(x+5)=370
10x+25x+125=370
35x+125=370
35x=245
x=7
So the number of dimes is 7.
y=x+5
y=7+5
y=12 So the number of quarters is 12
Check your work:
10(7)+25(12)=370
70+300=370
370=370
So the solutions are right, and there are 7 dimes and 12 quarters.
