Anna has a collection of 45 nickels and quarters worth $8.05. How many nickels does she have

Answer 1

This problem can be set up and solved as a system of 2 equations in 2 unknowns.

q = number of quarters

n = number of nickles

0.25q + 0.05n = 8.05

q + n = 45

From the second equation, get

q = 45 - n

Plug this into the first equation and solve for n.

0.25(45 - n) + 0.05n = 8.05

n = 16

q = 45 - n = 45 - 16 = 29

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