Question

Jenny has six more nickels than dimes in her pocket for a total of $1.80. The equation 0.05(x + 6) + 0.10(x) = 1.80 models the number of dimes, x, in her pocket. How many dimes are in Jenny's pocket?

Answer 1

answer = $1.80 x 0.05(x + 6) + 0.10(x)

Answer 2

Jenny has 10 dimes in her pocket.

Explanation:

The equation 0.05 (x + 6 ) + 0.10x = 1.80

Models the number of dimes

By solving this equation we can get the number of dimes (x)

0.05 (x+6) + 0.10x = 1.80

0.05x + 0.03 + 0.10x = 1.80

0.15x + 0.30 = 1.80

0.15x = 1.80 - 0.30

0.15x = 1.50

x =
`(1.50)/(0.15)` = 10 dimes

Jenny has 10 dimes in her pocket.