Question

Question 6

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If 95 people attend a concert and tickets for adults cost $3.25 while tickets for children cost $3 and total
receipts for the concert was $300.5, how many of each went to the concert?

Answer 1

33 children

62 adults

Explanation:

Set up 2 equations (a=adults c=children)

The first equation will be 3.25(a)+3 = 300.5

The second equation will be a + c = 95

Subtract c from both sides to get:

a = 95 - c

Replace c in the 1st equation to get:

3.25(95-c) + 3c = 300.5

Distribute 3.25 to 95 and -c:

308.75 - 3.25c + 3c = 300.5

Subtract 308.75 from both sides:

-3.25c + 3c = 300.5 - 308.75

Combine like terms:

-0.25c = -8.25

Divide by -0.25

children = 33

Subtract 33 from 95 to get

adults = 62