Question

James has 13 coins. the coins are nickels and quarters the coins have a total value of 2.05. let n represent the number of nickels and let quarters represent the number of quarters.

Answer 1

13 coins

nickels and quarters

total value = $2.05

nickels = n

quarters = q

What is the question? calculathe the number of nickels and quarters?

Equations

n + q = 13

0.05n + 0.25q = 2.05

Solve by substitution

n = 13 - q

0.05(13 - q) + 0.25q = 2.05

0.65 - 0.05q + 0.25q = 2.05

0.20q = 2.05 - 0.65

0.20q = 1.4

q = 1.4/0.20

q = 7

n + 7 = 13

n = 13 - 7

n = 6