Question

Stephanie had a total of 80 pieces of $ 2 and $ 10 notes. After spending 2/5 of her $ 2 notes and 8 pieces of her $ 10 notes, she had an equal number of $ 2 and $ 10 notes left. How much money did Stephanie have at first?

Answer 1

$440

Explanation:

notes $2 - n

notes $10 - m

n + m = 80 ----------> m = 80 - n

1 - 2/5 = 3/5

`(3)/(5) * n = m - 8`

`(3)/(5) * n = 80 - n - 8 \\\\(3)/(5) * n + n = 72\\\\(8)/(5) * n = 72\\n = 45 \\m = 35\\`

45 * $2 + 35 * $10 = 90 + 350 = $440