Question

If 2/3 ton of gravel covers three 3/4 of a driveway, how many tons of gravel are required to cover the entire driveway

Answer 1

To find out how many tons of gravel are required to cover the entire driveway, we need to determine the number of tons per unit of the driveway.

First, we need to find out the number of units the entire driveway consists of. The portion of the driveway already covered is three 3/4.

Multiplying the whole number by the denominator and adding the numerator: 3 * 4 + 3 = 15/4 of the driveway is already covered.

To find out how many units are in the entire driveway, we need to find the reciprocal of 15/4: 1 / (15/4) = 4/15.

Now we need to determine the number of tons per unit of the driveway. We know that 2/3 ton of gravel covers 3/4 of a driveway.

To find out the amount of gravel required per unit of the driveway, we divide 2/3 by 3/4: (2/3) / (3/4) = (2/3) * (4/3) = 8/9.

Finally, to find out how many tons of gravel are required to cover the entire driveway, we multiply the number of units in the entire driveway by the amount of gravel required per unit: (4/15) * (8/9) = (4*8)/(15*9) = 32/135.

Therefore, approximately 32/135 tons of gravel are required to cover the entire driveway.