Question

Adele's graduation picnic will cost $312 if it has 24 attendees. If there are 54 attendees, how much will Adele's graduation picnic cost? Assume the relationship is directly proportional.

Answer 1

Given:

When there are 24 atendees, the cost = $312

Let's find cost when there are 54 atendees.

Apply the proportionality equation:

24 atendees = $312

54 atendees = $x

Hence, we have the equation:

`(312)/(24)=(x)/(54)`

Cross multily and solve for x.

We have:

`\begin{gathered} 24x=312*54 \\ \\ 24x=16848 \end{gathered}`

Divide both sides of the equation by 24:

`\begin{gathered} (24x)/(24)=(16848)/(24) \\ \\ x=702 \end{gathered}`

Therefore, when there are 54 atendees, Adele's graduation picnic cost will be $702.

ANSWER:

$702