Question

When Jennifer and Tom visit another country, they find two types of coins are used there, one with a Q on it and one with an E on it. Jennifer has 13 Q coins and Tom has 5 Q coins and 7 E coins. If Jennifer's coins have a total value of $0.65 and Tom's coins have a total value of $3.75, what is the value of each type of coin?

Answer 1

q = $0.05

e = $0.5

Explanation:

13q = 0.65 equation 1

5q + 7e = $3.75 equation 2

in equation 1, divide both sides of the equation by 13

q = 0.65 / 13 = 0.05

Substitute for the value of q in equation 2

5(0.05) + 7e = 3.75

0.25 + 7e = 3.75

collect like terms

3,75 - 0.25 = 7e

3.5 = 7e

e = 0.5