Question

A club sold 430 tickets for its annual picnic. Tickets for adults cost $5 each, and tickets for children cost $2 each. Which information could be used to find how much the club received from ticket sales?

A) how many adult tickets were sold
B) how many members were in the club
C) how many club members sold tickets
D) how many children each club member had.​

Answer 1

D) How many children each club member had.

Explanation:

Let A and C be the numbers of Adult and Children's tickets sold, respectively.

The total sales woud be the sum of the Adult income and Children's income, given as $5*A and $2*C, respectively.

Total Sales = $5*A + $2*C

We also know that A + C = 430 tickets

We need information that tells us about the ratio of Adult and Children's tickets. That could come from D) How many children each club member had.

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Example

If we were told that there were 4 children per adult, we could say that

C = 4A.

Since A + C = 430 tickets, we can write:

A + 4A = 430 tickets

5A = 430 tickets

A = 86 adult tickets

Then C = (430-86)= 344 children's tickets

Total Sales = $5*A + $2*C

Total Sales = $5*(86) + $2*(344)

Total Sales = $430 + $688

Total Sales = $1118

Answer 2

A

Explanation:

a = # of adult tickets sold

c = # of child tickets sold

a + c = 430

Total ticket sales = 5a + 2c

If you knew a, the # of adult tickets sold, you could find the total sales.

For example, let's say there were 350 adult tickets sold.

c = 430 - 350 = 80

Total sales = 5(350) + 2(80) = $1750