Question

Andre needs 12 cubic yards of mulch to put in his yard. HomeDepot has 2 cubic ft bags for $3.50. He called Max's Mulch and they will deliver 12 cubic yards of mulch for $450. Since there are 3 feet in a yard, which is the better option for Andre? Explain. a.Home Depot because it is $90 cheaper b.Max's Mulch because they are $117 cheaper c.Home Depot because it is $125 cheaper d.Max's Mulch because they are local and you should always buy local

Answer 1

b. Max's Mulch because they are $117 cheaper

Explanation:

1 yd = 3 ft

(1 yd)^3 = (3 ft)^3

1 cu yd = 27 cu ft

12 cu yd * (27 cu ft)/(cu yd) = 324 cu ft

Andre needs 12 cu yd which is the same as 324 cu ft.

The Home Depot price is $3.50 for 2 cu ft.

($3.50)/(2 cu ft) = $1.75/cu ft

324 cu ft at $1.75/cu ft costs:

324 cu ft * $1.75/cu ft = $567

The Home Depot price is $567.

The Max's Mulch price is $450.

$567 - $450 = $117

Home Depot is $117 more expensive than Max's Mulch.

Answer: b. Max's Mulch because they are $117 cheaper