Alvin, Calvin and Melvin each have some positive integer number of sweets. Alvin has fewer sweets than Calvin, and they have 31 sweets in total. Melvin has 24 sweets more than Alvin.

What is the maximum number of sweets that they can all have in total?

  1. 👍 0
  2. 👎 0
  3. 👁 145
  1. Let A = number of sweets of Alvin
    Let C = number of sweets of Calvin
    Let M = number of sweets of Melvin
    According to the statements,
    A < C
    A + C = 31
    M = A + 24

    Note that to maximize M, A should also be maximized. Maximum value of A is 31 (that is, if C = 0), but according to the first condition, C should be greater than A.
    Therefore, maximum value of A, where it is less than C is 15, and thus C is equal to 16.
    If A is 15, M should be 39.
    A = 15, C = 16, M = 39
    Total: 70 sweets

    Hope this helps :)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 1500 meters below the surface of the water, and ascend at 37 meters per hour. Note: under the

  2. MATHS

    A boy spent 1/4 of his money on sweets and 3/8 on bus fares. What fraction of his money is left?

  3. Maths

    A boy spends 1/4 of his money on sweets and 1/3 on computer games. What fraction of his money does he not spend?

  4. maths

    1) A chemistry teacher requires 250 milligrams of a chemical for an experiment. He has 30 grams of the chemical. How many times can he carry out the experiment? 2) A bottle contains 1.5 litres of cola. Hannah drinks 300 ml of the

  1. Psychology

    1. A student who behaves in the classroom to avoid punishment is acting according to what cause of behavior? A. Fear cause B. Situational C. Dispositional D. Punishment cause 3. A phenomenon in which an initial understanding that

  2. Word problems

    I have some money, I spend half at the bookshop, a quarter at the supermarket and an eighth on sweets. I have £3.25 much did I have to start with

  3. math

    A jar consists of 21 sweets, 12 are green and 9 are blue. William picked 2 sweets at random. Find the probability that both sweets are blue.

  4. math

    Alvin ate 5/8 of a pizza, if there were 16 slices of pizza. how many slices did Alvin eat?

  1. Maths

    equal quantities of sweets at two for $10 and six for $10 are mixed together. How many of the mixed sweets can you get for $10?

  2. english

    Read the passage from “The Downside of No Downtime for Kids.” Is a summer packed with science and sports camps, reading assignments and math practice the only responsible choice? Have you failed if your fifth grader isn’t


    1. Which of these numbers can be classified as both real and rational? A. 1/2 *** B. -1.016879413894 C. √5 D. 0.89089908999 2.Which is both a real number and an integer? A. √7 B. 0.15 C. -15 *** D. 1/3 3. What is an example of

  4. MATH

    Sarah and Henry share some sweets in the ratio 7:6 . Sarah eats 24 of her sweets and the ratio of sweets left becomes 1:2 . How many sweets did Henry have?

You can view more similar questions or ask a new question.