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Kayla's graduation picnic will cost $\$16$ if it has $8$ attendees. At most how many attendees can there be if Kayla budgets a total of $\$18$ for her graduation picnic? Assume the relationship is directly proportional. $\newline$ _____ attendees

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Solve proportions: word problems

Full solution

Q. Kayla's graduation picnic will cost

\$16

if it has

8

attendees. At most how many attendees can there be if Kayla budgets a total of

\$18

for her graduation picnic? Assume the relationship is directly proportional.

\newline

_____ attendees

Establish known proportion: Step $1$ : Establish the known proportion. $\newline$ ● Cost for $8$ attendees: $\$16$ $\newline$ ● Cost for $x$ attendees: $\$18$ $\newline$ Set up the proportion based on the known values. $\newline$ $\$16 / 8 = \$18 / x$
Cross-multiply relationship: Step $2$ : Cross-multiply to find the relationship between costs and attendees. $16 \times x = 8 \times 18$
Solve for x: Step $3$ : Solve for x. $\newline$ $16x = 144$ $\newline$ $x = \frac{144}{16}$ $\newline$ $x = 9$

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