Fred has $5.05 worth of coins floating around in his backpack, all of which are quarters and dimes. If there are 5 more dimes than quarters, how many

boitshupoO

boitshupoO

Answered question

2021-06-11

Fred has $5.05 worth of coins floating around in his backpack, all of which are quarters and dimes. If there are 5 more dimes than quarters, how many coins of each are there?

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-06-13Added 169 answers

Ian Adams

Ian Adams

Skilled2021-08-04Added 163 answers

Let q be the number of quarters and d be the number of dimes. Hecall that 1 quarter = 0.25 and 1 dime = 0.10
Fred has 5.05 consisting of quarters and dimes:
0.25q+0.10d=5.05
There are 5 more dimes than quarters:
d=q+5
Solve by substitution. Substitute (2) to (1) and solve for q: 0.25q+0.10(q+5)=5.05
0.25q+0.10q+0.50=5.05
0.35q+0.50=5.05
0.35q=4.55
q=13
Solve for d using (2):
d=13+5
d=18
Hence, Fred has 13 quarters and 18 dimes

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?