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.

Step-by-step explanation:

Number of tons the cement weigh is given by

$6\dfrac{1}{3}\ tons\\=\dfrac{19}{3}$

Weight of each load = $\dfrac{3}{4}\ tons$

So, Number of tons is given by

$\dfrac{\text{Weight of cement}}{\text{weight of each load}}\\\\=\dfrac{\dfrac{19}{3}}{\dfrac{3}{4}}\\\\=\dfrac{19}{3}\times \dfrac{4}{3}\\\\=\dfrac{76}{9}\\\\=8.4\\\\\approx 9\ loads$

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.