Last Saturday, 1,750 people attended an event at Farway Gardens. The admission fee was $3.50 for children and $8.00 for adults. If the total amount of money collected at the event was $9,860, how many children and how many adults attended the event?

SchachtN
2020-10-20
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Bentley Leach

Answered 2020-10-21
Author has **109** answers

Let c be the number of children and a be the number of adults.
Set up equations.
Using the attendance of 1750 people, we can write:
c+a=1750

Using the total money collected of 9860, we can write:

3.50c+8.00a = 9860

Solve by substitution. Using (1), we solve for a to obtain (3): a=1750—c

Substutute (3) to (2) and solve for c:

3.50c + 8.00(1750 — c) = 9860

3.50e+ 14000 — 8.00c = 9860

—4.50e= —4140

c=920

Solve for a using (3):

a=1750 — 920

a=830

So, there were 920 children and 830 adults.

Using the total money collected of 9860, we can write:

3.50c+8.00a = 9860

Solve by substitution. Using (1), we solve for a to obtain (3): a=1750—c

Substutute (3) to (2) and solve for c:

3.50c + 8.00(1750 — c) = 9860

3.50e+ 14000 — 8.00c = 9860

—4.50e= —4140

c=920

Solve for a using (3):

a=1750 — 920

a=830

So, there were 920 children and 830 adults.

Jeffrey Jordon

Answered 2021-08-10
Author has **2262** answers

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