Question

Rachel works a day job and an evening job. She works 77 hours every two weeks. The ratio of the hours she works at her day job to the hours she works at her evening job is 7:4. The ratio of the hourly pay for her day job to the hourly pay for her evening job is 4:3. Rachel earns ​$24 an hour at her day job. How much does she earn every two​ weeks?

Answer 1

Answer:

1680 dollars

Step-by-step explanation:

$7 + 4 = 11$

$77 \div 11 = 7$

$day \: 7 \times 7 = 49h$

$evening \: 7 \times 4 = 28h$

$24 \div 4 = 6$

$6 \times 3 = 18 (hourly \: pay \: of \: evening \: job)$

$24 \times 49 = 1176$

$28 \times 18 = 504$

$total \: 1176 + 504 = 1680$