Question

Anna is preparing the soil in her garden for planting tomatoes . the directions say to use 4 pounds of fertilizer for 120 square feet of soil. the area of the garden is 180 square feet. please help me you will get 81 points

Answer 1

6 pounds of fertilizer is required to cover an area of 180 square feet.

Explanation:

We are given the following in the question:

We have to use 4 pounds of fertilizer for 120 square feet of soil.

We find the equivalent ratio of area of soil and amount of fertilizer used.

Ratio =

`\displaystyle\frac{\text{Area of soil}}{\text{Amount of fertilizer used}} = (120)/(4) = (30)/(1)  =30:1`

This means that 30 square feet of soil requires 1 pound of fertilizer.

Area of the garden = 180 square feet

Let x be the amount of fertilizer required.

Thus, we can write:

`\displaystyle(30)/(1) = (180)/(x)\\\\x = (180)/(30) = 6`

Thus, 6 pounds of fertilizer is required to cover an area of 180 square feet.

Answer 2

6 pounds of fertilizer

Explanation:

we know that

The directions say to use 4 pounds of fertilizer for 120 square feet of soil

so

using proportion

Find out how many pounds of fertilizer to use for 180 square feet of soil

Let

x ----> the number of pounds of fertilizer to use

`(4)/(120)(lb)/(ft^2)=(x)/(180)(lb)/(ft^2)\\\\x=180(4)/120\\\\x=6\ lb`