Question

A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545

cents, how many dimes and how many quarters does he have?
Your answer is
number of dimes equals
number of quarters equals

Answer 1

34

=

x

+

y

34

−

x

=

y

565

=

10

x

+

25

y

Substitute the first equation

565

=

10

x

+

25

(

34

−

x

)

565

=

10

x

+

850

−

25

x

15

x

=

285

x

=

19 dimes

So,

34

−

19

=

15 quarters

Explanation:

19 quarters is the answer.