A collection of nickels, dimes, and quarters consist of 18 18 coins with a total of $ 2.05 $2.05. if the number of dimes is equa

Question

lapo4ka [179]

2 years ago

10

A collection of nickels, dimes, and quarters consist of 18 18 coins with a total of $ 2.05 $2.05. if the number of dimes is equa

l to the number of nickels, find the number of each type of coins.

Mathematics

1 answer:

ladessa [460] · Answer 1 · 2022-05-13T04:46:27+03:00

The first thing we must do for this case is to define variables.
We have then:
x = the number of nickels
y = the number of dimes
z = the number of quarters
We write the system of equations:
0.05x + 0.1y + 0.25z = 2.05
x + y + z = 18
x = y
Solving the system we have:
x = 7
y = 7
z = 4
Answer:
nickels = 7
dimes = 7
quarters = 4