Math Problem (Percentage)

Question

Anne, Betty and Cheryl decide to open a hairdressing salon. Anne contributes 7/20 of the total capital, Betty 3/10 and Cheryl the remaining $2814.

1. What fraction of the capital does Cheryl provide?
2. How much is the capital?
3. How much do Anne and Betty each contribute?

Answer 1

K = 7K/20 + 3K/10 + 2814

20K = 7K +6K + 2814(20)

7K = 2814(20)

K = 402(20) = $8040 total capital

Cheryl provided 7/20 (8040) = $2814 = also Ann's provision = $2814

Betty provided 6/20(8040) = $2412