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Some friends are planning to make a neighborhood garden. The total area available for the garden is 210 square meters, and they want this to be 1(1)/(3) times the area of the plant beds in the garden.
What should the area of the plant beds be?

◻ square meters

Some friends are planning to make a neighborhood garden. The total area available for the garden is $210\,\text{square meters}$ , and they want this to be $1\frac{1}{3}$ times the area of the plant beds in the garden. $\newline$ What should the area of the plant beds be? $\newline$ $\square\,\text{meters}$

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Multi-step word problems

Full solution

Q. Some friends are planning to make a neighborhood garden. The total area available for the garden is

210\,\text{square meters}

, and they want this to be

1\frac{1}{3}

times the area of the plant beds in the garden.

\newline

What should the area of the plant beds be?

\newline

\square\,\text{meters}

Calculate Total Area: To find the area of the plant beds, we need to divide the total area of the garden by the factor that the total area is larger than the area of the plant beds. The total area is $1(1/3)$ times the area of the plant beds, so we divide the total area by $1(1/3)$ to find the area of the plant beds. $\newline$ Calculation: $210$ square meters $/$ $1(1/3)$ $\newline$ First, convert $1(1/3)$ to an improper fraction: $1(1/3) = (3/3 + 1/3) = 4/3$ . $\newline$ Now, divide $210$ by $4/3$ . $\newline$ To divide by a fraction, multiply by its reciprocal. So, multiply $210$ by the reciprocal of $4/3$ , which is $1(1/3)$ $1$ . $\newline$ $1(1/3)$ $2$

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