Question

A candy maker estimated that she had 2500 bags of candy. She had put prizes in 92 of them. She collected a sample in which there were 7 bags of candy with prizes. Approximately how many bags of candy were in the sample the candy maker collected?

Answer 1

She put prizes in 92 out of 2500 bags. 92/200=0.46.
If 7 bags had candy out of a sample, there were 7/0.46=approximately 15.217 bags of candy in the sample. Or you can say approximately 15.

Answer 2

190 bags.

Explanation:

Given,

Out of 2500 bags of candy there are 92 bags of candies with prizes,

So, the ratio of bags with prizes and the total bags =
`(92)/(2500)`

Let out of x bags of candies, there are 7 bags with prizes,

So, the ratio of bags with prizes and the total bags =
`(7)/(x)`

`\implies (92)/(2500)=(7)/(x)`

`\implies 92x=17500`

`\implies x = 190.21739\approx 190`