Question

I work 1.5 hour and make 24 dollars. How much do I make in 8 hours?How much do I make in 12 hours?

Answer 1

The ratio of pay for working hours is:

`\frac{24\text{ dollars}}{1.5\text{ hours}}`

Then the proportion to find how much do you make in 8 hours is:

`\frac{24\text{ dollars}}{1.5\text{ hours}}=\frac{x}{8\text{ hours}}`

And now we need to solve for x:

`\begin{gathered} (24*8)/(1.5)=x \\ x=(192)/(1.5) \\ x=128 \end{gathered}`

Thus, you make $128 in 8 hours.

b. The ratio is the same, what changes is the proportion:

`\frac{24\text{ dollars}}{1.5\text{ hours}}=\frac{x}{12\text{ hours}}`

Now, solve for x:

`\begin{gathered} (24*12)/(1.5)=x \\ x=(288)/(1.5) \\ x=192 \end{gathered}`

You make $192 in 12 hours.