Question

luke has $1.40 in quarters and nickels. he has 2 more quarters than nickels. how many coins of each type does he have?

Answer 1

Explanation:

Let the

Nickel coin = x

Quarter coin = y

y = n + 2

0.25y + 0.05x = 1.4

0.25(x + 2) + 0.05x = 1.4

0.25x + 0.5 + 0.05x = 1.4

0.25x + 0.05x = 1.4 - 0.5

0.30x = 0.9

x = 0.9/0.3

x = 3

y = 3 + 2 = 5

Answer 2

3 nickels and 5 quarters

Explanation:

Let n = number of nickels

q = number of quarters

q = n+2

.25q + .05n = 1.40

Using the first equation and replacing q in the second equation

.25( n+2) + .05n = 1.40

Distribute

.25n+.50 +.05n = 1.40

Combine like terms

.30n +.5 = 1.40

Subtract .5 from each side

.3n +.5-.5 = 1.40-.4

.3n = .9

Divide by .3

.3n/.3 = .9/.3

n = 3

q = n+2

q=5