Question

The amount of money Jeremy makes varies directly with the number of hours he works. Ifhe earns $195 for 3 days of work, how much will he earn if he works 12 days?

Answer 1

Given:

a.) Jeremy earns $195 for 3 days of work.

To be able to determine how much will he earn if he works 12 days, we will be using ratios and proportions.

Let,

x = his earnings if he works for 12 days.

`\text{ 195 : 3 = x : 12}`
`\text{ 195 : 3 = x : 12 }\rightarrow\text{ }\frac{\text{ 195}}{3}\text{ = }\frac{\text{ x}}{12}`

`\frac{\text{ 195}}{3}\text{ = }\frac{\text{ x}}{12}`

`\text{ (195)(12) = (x)(3)}`
`\text{ 2,340 = 3x}`
`\text{ }\frac{\text{2,340}}{3}\text{ = }\frac{\text{3x }}{3}`
`\text{ 780 = x}`

Therefore, he'll earn $780 for working 12 days.