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Stefan bought $15$ souvenirs during $3$ days of vacation. After $4$ days of vacation, how many total souvenirs will Stefan have bought? Assume the relationship is directly proportional. $\newline$ $\newline$ _____ souvenirs

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Solve proportions: word problems

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Q. Stefan bought

15

souvenirs during

3

days of vacation. After

4

days of vacation, how many total souvenirs will Stefan have bought? Assume the relationship is directly proportional.

\newline

\newline

_____ souvenirs

Identify total souvenirs: Identify the total souvenirs bought in $3$ days and set up the proportion for $4$ days. $\newline$ Stefan bought $15$ souvenirs in $3$ days. We need to find out how many souvenirs he will have bought after $4$ days. We set up the proportion: $\newline$ $\frac{15 \text{ souvenirs}}{3 \text{ days}} = \frac{x \text{ souvenirs}}{4 \text{ days}}$
Set up proportion: Cross-multiply to find $x$ . $15 \times 4 = 3 \times x$ $60 = 3x$
Cross-multiply: Solve for $x$ . $60 = 3x$ $x = \frac{60}{3}$ $x = 20$

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