Question

miguel created the ratio table below to show how he uses the money he earns at work.
miguels money
how much money will he save if he earns 120 dollars?
a 36 dollars
b 48 dollars
c 96 dollars

Explanation:

Step1: Find the ratio

From the first row, when he earns \(15\) dollars, he saves \(8\) dollars. The ratio of savings to earnings is \(\frac{8}{15}\).

Step2: Calculate savings for \(120\) dollars

If he earns \(E = 120\) dollars, and the ratio of savings \(S\) to earnings \(E\) is \(\frac{S}{E}=\frac{8}{15}\). Then \(S=\frac{8}{15}\times E\). Substitute \(E = 120\) into the formula: \(S=\frac{8\times120}{15}\).
First, calculate \(120\div15 = 8\), then \(8\times8=64\).

Answer:

\(64\) dollars