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I need help on this question I don’t get it?

I need help on this question I don’t get it?-example-1

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Explanation:

the key is to understand that

12 in = 1 ft

1 ft³ (= a cube of 1 ft × 1ft × 1ft or 12in × 12 in × 12 in = 1728 in³) weighs 40 lbs.

her truck can only carry 1,700 lbs without breaking down.

but it would have space for 66×60×24 = 95040 in³ =

95040/1728 = 55 ft³ of soil, which would weigh

55 × 40 = 2200 lbs (too much for the truck).

the same ratio as for the weight her truck can carry applies for the filled volume of the truck bed with that weight :

1700/2200 = 17/22

so, she can only fill 17/22 of her truck bed volume with soil.

i)

percents are calculated by multiplying the ratio by 100 :

17/22 × 100 = 77.27272727... % ≈ 77%

she can fill about 77% of her truck bed with soil without going over the weight limit.

ii)

since she can transport only 1700 lbs in one trip, and 1 ft³ of soil weighs 40 lbs, she can transport

1700/40 = 42.5 ft³ of soil per trip.

she would then earn

42.5 × 1.5 = $63.75 per trip.

User Alister Lee
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