Megapizza
Megapizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion?
Correct answer:

Showing 1 comment:
Dr Math
Perhaps a more elegant solution: The Kth person gets 99! / (99 - (k-1)! * K / 100exp (k). K + 1. The person gets 99! / (99 - k)! * (K + 1) / 100exp (k + 1) The ratio m (k + 1) / m (k) must be greater than one, ie: the next person in the order will receive a larger portion than the previous one.Applies to k = 1, 2, … 9. The 10th person gets the largest portion.
Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
You need to know the following knowledge to solve this word math problem:
- planimetrics
- circle
- area of a shape
- basic functions
- percentages
- maximum
- functions
- derivation
- numbers
- fractions
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Juice division
534 liters of juice was in a container. If every person gets 14 liter, how many people will get juice from the container?
- Camping trip
A group of friends on a camping trip has 3 2/5 lb of trail mix. They divide it up evenly among themselves. Each person gets 1/5 lb of the trail mix. How many friends are on the camping trip?
- Candy bars
Sheldon has 4 candy bars and wants to split them among his five friends. If each person gets the same amount, what part of the candy bar will each friend get? Show your work.
- The bread
There are 12 slices of bread and each person gets 3/4 of a slice of bread. How many people get bread?
- Four people
Four people want waffles for breakfast. There are 6 waffles left. How can 6 waffles be shared equally among 4 people? How much does each person get? Draw a picture and write a division expression to model the problem.
- Barbara 2
Barbara get 6 pizzas to divide equally among 4 people. How much of a pizza can each person have?
- Rewrite
Rewrite the following as a division statement if there are eight cakes and each person gets 1/12 of a cake, how many people get cake?
- Crowns
1180 crowns are divided into three people: A got 20% less than B and C by 15% more than B. How many got A, B, and C?
- Performance 5041
Three workers received a reward of €2,850 for their work. They divided them according to their performance so that the first received 20% less than the second and the third received €50 more than the second. How many euros did each person receive?
- Divide
Divide substance 110 cm long to two parts so that it first part is 10 cm longer than the second part and one part will be 10 times longer than the second portion. How long the parts will be?
- Contestants
The three best contestants are to divide the total prize of CZK 4,200. The second gets 20% more than the third. And the first one gets 200 CZK less than the second and the third together. How much will everyone get?
- Dividing money 6
P 49,000 is to be divided among three children X, Y, and Z. If X will receive double that of Y. Y will receive double that of Z, how much will Z will receive?
- Three friends
Three friends divided the profit by 104,650 CZK, so that for every 4 CZK, which got the first friend equals 5 crowns for second and for every 9 CZK, which got the second equals 16 CZK for third. Question: Who got the most and how much.
- 600 pencils
600 pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done?
- Mortality tables
Mortality tables enable actuaries to obtain the probability that a person at any age will live a specified number of years. Insurance companies and others use such probabilities to determine life insurance premiums, retirement pensions, and annuity paymen
- The farmer
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes brought in. In the second hour, he sold five-sixths of the remaining potatoes, and in the third hour, he sold the last 40 kg of potatoes. 1. Express a fractio
- Three-day 3939
Petr got a three-day part-time job for the holidays. On the first day, he earned 1/4 of the total amount. On the second day, 2/5 of the last two days, and on the third day, he made CZK 450. How much did you earn in total?