Hello!
To find how many loads it will take to haul all of the cement they bought, we need to divide by the total amount of cement, which is 61/3 tons, by 3/4 tons, which is the amount of cement the truck can carry at a time.
When dividing using fractions, remember that dividing by a fraction is like multiplying its reciprocal. This means that 3/4 is flipped to 4/3 and is multiplied by 61/3.
61/3 ÷ 3/4 → 61/3 × 4/3 = 244/9
244/9 = 27 1/9 or ≈ 27.1
Since the pickup truck can't do 1/9th of a load, it would be rounded up to 28 loads.
Therefore, it will take 28 loads for Evie and Sophia to haul of the cement to create the patio.
A contractor says the cement will weigh 61⁄3 tons.
[tex]6\frac{1}{3} =\frac{19}{3}[/tex] tons
Sophia to haul all of the cement in their pickup truck, which can carry 3⁄4 ton
Truck can carry 3/4 ton in 1 load
[tex] \frac{19}{3}[/tex] tons in how many loads
[tex]\frac{\frac{19}{3}}{\frac{3}{4}}[/tex]
Multiply by the reciprocal of 3/4
[tex]\frac{19}{3} * \frac{4}{3}[/tex]
[tex]\frac{76}{9}[/tex] = 8.44
it will take [tex]\frac{76}{9}[/tex] or [tex]8\frac{4}{9}[/tex] loads for Evie and Sophia to haul all of the cement in their pickup truck.
