Question

Evie and Sophie are planning a cement patio by their swimming pool. A contractor says the cement will weigh 61/3 tons. How many loads,will it take for Evie and Sophie to haul all of the cement in their pickup truck, which can carry 3/4 tons?

Answer 1

Answer: There are approximately 9 loads.

Explanation:

Number of tons the cement weigh is given by

`6(1)/(3)\ tons\\=(19)/(3)`

Weight of each load =
`(3)/(4)\ tons`

So, Number of tons is given by

`\frac{\text{Weight of cement}}{\text{weight of each load}}\\\\=((19)/(3))/((3)/(4))\\\\=(19)/(3)* (4)/(3)\\\\=(76)/(9)\\\\=8.4\\\\\approx 9\ loads`

Hence, there are approximately 9 loads.

Answer 2

Convert the 6 1/3 tons into an improper fraction:

6 1/3 = 19/3 tons.

Divide 19/3 tons by 3/4 tons per load:

19/3 / 3/4 = 19/3 * 4/3 = 76/9 = 8.4, so it will take 9 trips.