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.
