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Lila prepared $12\,\text{kilograms}$ of dough after working $4\,\text{hours}$ . How much dough did Lila prepare if she worked for $6\,\text{hours}$ ? Assume the relationship is directly proportional. $\newline$ $\_\_\_\_\_$ kilograms

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Solve proportions: word problems

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Q. Lila prepared

12\,\text{kilograms}

of dough after working

4\,\text{hours}

. How much dough did Lila prepare if she worked for

6\,\text{hours}

? Assume the relationship is directly proportional.

\newline

\_\_\_\_\_

kilograms

Identify values, set up proportion: Step $1$ : Identify the known values and set up the proportion. Lila prepared $12$ kilograms of dough in $4$ hours. We need to find out how much dough she prepares in $6$ hours. Set up the proportion based on the known values: $\frac{12 \, \text{kg}}{4 \, \text{hours}} = \frac{x \, \text{kg}}{6 \, \text{hours}}$
Cross-multiply to solve: Step $2$ : Cross-multiply to solve for $x$ . $12 \times 6 = 4 \times x$ $72 = 4x$
Divide to isolate x: Step $3$ : Divide both sides by $4$ to isolate $x$ . $\frac{72}{4} = x$ $18 = x$

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