Share
Tripp has $4.30 in his pocket made up of 26 coins consisting of quarters and nickels. How many of each type of coin does he have?
Question
Tripp has $4.30 in his pocket made up of 26 coins consisting of quarters and nickels. How many of each type of coin does he have?
in progress
0
Mathematics
3 years
2021-08-26T10:35:51+00:00
2021-08-26T10:35:51+00:00 2 Answers
7 views
0
Answers ( )
16 quarters and 10 nickels.
16 quarters are worth 4.00 and 10 Nickels are worth .30
Answer:
15 quarters
11 nickels
Step-by-step explanation:
Let q represent quarters and n represent nickels
First, set up a system of equation:
q+n=26
0.25q+0.05n=4.30
then solve the equations:
q+n=26
0.25q+0.05n=4.30 (multiply this equation by -4)
q+n=26
-q-0.2n=-17.2
0.8n=8.8
n=11
So, there are 11 nickels.
to find the amount of quarters Tripp has:
q+11=26
q=15.
So Tripp has 15 quarters and 11 nickels.