Answer:
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
Step-by-step 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.
, this can be simplified to