Jenica has $4.50 in dimes and quarters. She has 1 more than three as many quarters as dimes. How many quarters does she have?

Laura has $4.50 in dimes and quarters she has 3 more dimes than quarters How many quarters does she have

She has 3 more dimes than quarters. How many quarters does she have? Laura has 15 dimes and 12 quarters.

Step-by-step explanation:

12 quarters

Step-by-step explanation:

Thus :  

0.1

a

+

0.25

b

=

4.5

And we know that she has 3 more dimes than quarters

Thus :

a

=

b

+

3

We just replace the value of a in the equation :

0.1

⋅

(

b

+

3

)

+

0.25

b

=

4.5

0.1

b

+

0.3

+

0.25

b

=

4.5

0.1

b

+

0.25

b

=

4.5

−

0.3

( we substract 0.3 on each side )

0.35

b

=

4.2

b

=

4.2

0.35

( we divide by 0.35 on each side )

b

=

12

: Laura has

12

quarters

We can now get

a

:

0.1

a

+

0.25

b

=

4.5

0.1

a

+

0.25

⋅

12

=

4.5

0.1

a

+

3

=

4.5

0.1

a

=

4.5

−

3

( we substract 3 on each side )

0.1

a

=

1.5

a

=

1.5

0.1

( we divide by 0.1 on each side )

a

=

15

: Laura has

15

dimes

We can now verify :

15

⋅

0.1

+

12

⋅

0.25

=

1.5

+

3

=

4.5

: correct !

And

15

=

12

+

3

, so Laura has

3

more dimes than quarters