skylar7621
Answered

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Carlos made $414 for 18 hours of work. At the same rate, how many hours would he have to work to make $299?

Sagot :

mangoqueen21

Answer:

13 hours

Step-by-step explanation:

414 / 18 = 23

299 / 23 = 13

denimjackets23

Answer:

13 hours

Step-by-step explanation:

This is indirect proportion.

A simple method to use is to multiply the second and third values and divide it by the first value.

If 18 hours =$414

x hours =$299

[tex]414x = 18 \times 299 \\ \frac{414x}{414} = \frac{18 \times 299}{414}[/tex]

Cancelling out by 414 on the left side and by 3 on the right side

[tex]x = \frac{6 \times 299}{138}[/tex]

Note: We can only cancel numerators and denominators.

Cancelling out by 3

[tex]x = \frac{2 \times 299}{46} \\ cancelling \: again \: by \: 2 \\ x = \frac{1 \times 299}{23}[/tex]

=>299/23 =13 hours

We have 13 hours as our answer.

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