Question

According to the annual Summer Vacation Survey conducted by Myvesta, a nonprofit consumer education organization, the average summer vacation costs $2252. If $1650 of this amount is charged on a credit card, what percent of the vacation cost is charged?

Answer 1

The answer is : 73.3% (to 1 decimal place)

Explanation:

The question is asking us to convert the proportion of a certain amount into percentage, and this is done as shown below:

vacation cost = $2252

amount charged = $1650

%of vacation cost that was charged = X%

∴ X% of 2252 = 1650

`(X)/(100)` × 2252 = 1652

`(2252X)/(100) =1650`

2252X = 165000 (dividing both sides by 2252)

`(2252X)/(2252)=(165000)/(2252)`

∴ X = 165000 ÷ 2252

X = 73.3%