Answered

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Set up and solve a proportion for the following application problem. If 6 pounds of grass seed cover 366 square feet, how many pounds are neededfor 4392 square feet?am 24/7onlinepounds

Sagot :

We know that 6 pounds cover 366 square feet, then we have the ratio:

[tex]\frac{6}{366}[/tex]

Let x be the amount we need to cover 4392 square feet, then we have the ratio:

[tex]\frac{x}{4392}[/tex]

Since the ratios have to be equal we have the proportion:

[tex]\frac{x}{4392}=\frac{6}{366}[/tex]

Solving for x we have:

[tex]\begin{gathered} \frac{x}{4392}=\frac{6}{366} \\ x=4392\cdot\frac{6}{366} \\ x=72 \end{gathered}[/tex]

Therefore, 72 pounds are nedded for 4392 sq ft.

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