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Anni [7]
3 years ago
12

A school held a kiddie carnival to raise money for the PTA. Admission for adults was $8, and admission for children was $5. In t

he end, 87 people attended the carnival, and they raised $468. How many adults attended the carnival? B. 11 C. 23 D. 64 E. 76
Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

B. 11

Step-by-step explanation:

Set up a system of equations where a is the number of adults and c is the number of children

a + c = 87

8a + 5c = 468

Solve by substitution by rearranging the first equation, then substituting it in the second equation:

a = 87 - c

Substitute this for a in the second equation, then solve for c:

8(87 - c) + 5c = 468

696 - 8c + 5c = 468

696 - 3c = 468

-3c = -228

c = 76

Then, plug this into the first equation to solve for a:

a + c = 87

a + 76 = 87

a = 11

So, 11 adults attended the carnival.

The correct answer is B, 11

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