Carter wants to put soil in his garden shown below. If soil comes in bags that fill 3 square yards each, how many bags of soil should Carter buy? Hint: you may have some leftover soil.
A garden with a length of 6 yards and a width of four-fifths yards.
The area of the garden can be found by multiplying the length and width.
Area = length x width
In this case, the length is 6 yards and the width is four-fifths of a yard. To convert four-fifths yard to yards, divide by five.
Width in yards = four-fifths yards / 5 = 4/5 / 5 = 4/25 yards
Now we can calculate the area.
Area = 6 yards x (4/25 yards) = 24/25 square yards
Each bag of soil fills 3 square yards. We can find how many bags Carter needs by dividing the area of the garden by the area each bag fills.
Number of bags = (24/25 square yards) / (3 square yards/bag)
Number of bags = (24/25) / 3 = 24/25 x 1/3 = 8/75
So Carter should buy 8/75 bags of soil.