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Oliver jarred $4\,\text{liters}$ of jam after $2\,\text{days}$ . How much jam did Oliver jar if he spent $10\,\text{days}$ making jam? Assume the relationship is directly proportional. $\newline$ $\_\_\_\_\_$ liters

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Solve proportions: word problems

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Q. Oliver jarred

4\,\text{liters}

of jam after

2\,\text{days}

. How much jam did Oliver jar if he spent

10\,\text{days}

making jam? Assume the relationship is directly proportional.

\newline

\_\_\_\_\_

liters

Identify Total Amount: Step $1$ : Identify the total amount jarred in $2$ days and set up the proportion for $10$ days. $\newline$ ● Total jam jarred in $2$ days: $4$ liters $\newline$ ● Total jam jarred in $10$ days: $x$ liters $\newline$ Set up the proportion: $\newline$ $\frac{4}{2} = \frac{x}{10}$
Set Up Proportion: Step $2$ : Cross-multiply to find the equation. $\newline$ Cross-multiplying gives: $\newline$ $4 \times 10 = 2 \times x$
Cross-Multiply Equation: Step $3$ : Simplify the equation to solve for $x$ . $4 \times 10 = 2 \times x$ $40 = 2x$
Simplify to Solve: Step $4$ : Divide both sides by $2$ to isolate $x$ . $\frac{40}{2} = \frac{2x}{2}$ $20 = x$

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