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Penny got 5000 pieces of candy on Halloween, and she sorted the candy into types. She found that 4/25 of her candy was chocolates, 3/20 was candy corn, 1/10 were Wonka candies, and 1/5 of the remainder were lollipops. How many more chocolates did she have than lollipops?



Answer :

audreyn06

Answer: 210

Step-by-step explanation:

Let's start by determining the number of chocolates, candy corn, and Wonka candies Penny received:

  • Number of chocolates:  [tex]\dfrac{4}{25}\times5000=800[/tex]
  • Number of candy corn:  [tex]\dfrac{3}{20}\times5000=750[/tex]
  • Number of Wonka candies:  [tex]\dfrac{1}{10}\times5000=500[/tex]

Calculate the total of these candies:

800 + 750 + 500 = 2050

Calculate the remainder of the candies after accounting for chocolates, candy corn, and Wonka candies:

5000 - 2050 = 2950

Determine the number of lollipops, which is 1/5 of the remainder:

  • Number of lollipops:  [tex]\dfrac{1}{5}\times2950=590[/tex]

Finally, find how many more chocolates Penny had than lollipops:

800 - 590 = 210

Penny had 210 more chocolates than lollipops.

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