Question

Your school is sponsoring a pancake dinner to raise money for a field trip. You estimate that 200 adults will attend. You are trying to raise 3800 and deciding how much to charger per adult and per child. List some possible combinations (round to the nearest hundredths place) ___per adult, 0$ per child 10 per adult, ___ per child ___per child, 5$per child

Answer 1

Some of the possible combinations are;

1) $19 per adult, $0 per child

2) $10 peer adult, $9 per child

3) $14 peer adult, $5 per child

Explanation:

The given information are;

The estimated number of adults to attend the fund raising dinner = 200 adults

The amount the fund raiser is trying to realize = 3800

Therefore, some of the possible combinations are;

1) 3800/200 = 19 per adult to give;

$19 per adult, $0 per child

2) Given that each adult is charged $10, we have;

Total amount from adults = $10 × 200 = $2000

The total amount to be raised from the children = The amount the fund raiser is to realize - (Total amount from adults)

∴ The total amount to be raised from the children = 3800 - 2000 = 1800

The total amount to be raised from the children = $1,800

If there are 200 children we have;

The amount charged per child = (The total amount to be raised from the children)/(The total number of children)

The amount charged per child = $1,800/200 = $9 per child

Therefore, we have;

$10 peer adult, $9 per child

3) If each of the 200 children are charged $5 each, we have;

The total amount to be raised from the children = $5 × 200 = $1,000

∴ The amount to be raised from adults = $3800 - $1000 = $2800

The amount to each adult is to be charged = $2800/200 = $14

Therefore, we have;

$14 peer adult, $5 per child.