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lapo4ka [179]
3 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]3 years ago
6 0
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
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