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.