Question

a candy maker put prizes in 600 bags of candy. He then took a random sample of 125 bags of candy and counted 8 bags with prizes in them. Approximately how many bags of candy did the candy maker have?

Answer 1

125

Explanation:

There was 600 bags he 125candy+ 8prizes bags

Answer 2

9375

Explanation:

Given,

Candy maker put prizes in 600 bags of candy.

Let x be the bags having no prize,

So, the total number of bags of candies = x + 600

Thus, the ratio of candies bag with price and total bags =
`(600)/(x+600)`

∵ Out of 125 bags, 8 bags have price.

i.e. the ratio of the candies bag with price and total bags =
`(8)/(125)`

`\implies (600)/(x+600)=(8)/(125)`

`125(600) = 8(x+600)`

`75000 = 8x + 4800`

`70200= 8x`

`\implies x = (70200)/(8)=8775`

Hence, the total number of bags of candies = x + 600 = 8775 + 600 = 9375