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SpyIntel [72]
2 years ago
7

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
Mathematics
2 answers:
larisa86 [58]2 years ago
8 0

Answer:

6 pounds of fertilizer

Step-by-step 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

\frac{4}{120}\frac{lb}{ft^2}=\frac{x}{180}\frac{lb}{ft^2}\\\\x=180(4)/120\\\\x=6\ lb

morpeh [17]2 years ago
8 0

Answer:

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

Step-by-step 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}} = \frac{120}{4} = \frac{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\frac{30}{1} = \frac{180}{x}\\\\x = \frac{180}{30} = 6

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

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