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 :

Answer:

125

Step-by-step explanation:

There was 600 bags he 125candy+ 8prizes bags

Answer:

9375

Step-by-step 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 = [tex]\frac{600}{x+600}[/tex]

∵ Out of 125 bags, 8 bags have price.

i.e. the ratio of the candies bag with price and total bags = [tex]\frac{8}{125}[/tex]

[tex]\implies \frac{600}{x+600}=\frac{8}{125}[/tex]

[tex]125(600) = 8(x+600)[/tex]

[tex]75000 = 8x + 4800[/tex]

[tex]70200= 8x[/tex]

[tex]\implies x = \frac{70200}{8}=8775[/tex]

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

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