Question

HELPPPPPP PLEASE Ezgi's mom took Ezgi and her five friends to the circus for her birthday party. Her mom got a $12.50 ticket and the same snack for each child from the concession stand. She paid $105 for all of the tickets and snacks.

Which equations represent this situation, where s represents the cost of one snack in dollars?
6s+75=105

s+75=105

6(s+12.5)=105

5s+12.5=105

5s+75=105

6s+12.5=105

5(s+12.5)=105

Select all that apply. There are more than 1 answer!

Answer 1

2 Answers: Choice A and choice C

• 6s+75 = 105
• 6(s+12.5) = 105

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Explanation:

s = cost of one snack, in dollars

s+12.5 = cost of buying a snack, and a ticket at $12.50

6(s+12.5) = cost of buying 6 batches of the last pair of items above

6s+6*12.5 = what happens after you distribute

6s+75 = what happens after multiplication

We see that 6(s+12.5) and 6s+75 represent the same expression. That expression being the total cost of buying a snack and a ticket for 6 people. The mother is not included in any of this. If we wanted her to be, then we'd have to say 7(s+12.5) = 7s+7*12.5 = 7s+87.5

Anyways, so going back to 6(s+12.5) and 6s+75, these two expressions are set equal to 105 as this is the total cost for those 6 pairs of items (ticket + snack).

Therefore, this explains why choices A and C are the two answers.