Question

4

You have decided to create a garden beside your house. The garden will be 20 ft by 10 ft
and you will need soil to a depth of 18 inches. You can buy garden soil for $16.50/yd'.
a.)
How much soil do you need to buy? (10.5 Meeting)
b.)
How much does the soil cost? (10.3 Meeting)

Answer 1

Explanation:

I guess the price is $16.50/yd³.

there are 12 inches in 1 ft.

there are 3 ft in 1 yd.

1 yd³ = 1 yd × 1 yd × 1 yd = 3 ft × 3 ft × 3 ft = 27 ft³

we need soil to fill a volume of

20 ft × 10 ft × 18 in = 20 ft × 10 ft × 1.5 ft = 300 ft³

300 ft³ = 300/27 = 100/9 yd³ = 11.11111111... yd³

we need to buy 11.11111111... yd³ or 100/9 yd³ of soil.

the price for this is

16.5 × 100/9 = 1650/9 = 550/3 = $183.3333333...

but normally, in a store, I cannot buy a fraction of a bag.

so, in order to fill 11.11111111... yd³ we might have to buy 12 yd³.

and the price for that would be

16.5 × 12 = $198.00

Answer 2

100 yards ( 300 feet) and it will cost $1650

Explanation:

First you find the volume

so we do 20x10x1.5

The volume is 300 feet

Now its 16.50/yd of soil

a yard has 3 feet so lets do 300/3

300/3 is 100

So now we have to do 16.50 * 100

16.50 * 100 is 1650