MBApyq

Dividing Money Among Children

MAT 2018 · Mathematical Skills · Easy · Arithmetic

All MAT 2018 questionsMore Arithmetic questionsAll MAT MS

If a sum of money is divided equally among nn children, each child will receive \60.Ifanotherchildisaddedtothegroup,andthesumisdividedequallyamongallthechildren,eachchildreceivesa. If another child is added to the group, and the sum is divided equally among all the children, each child receives a $50$ share. What is the sum of money?

  1. A.

    30003000

  2. B.

    300300

  3. C.

    110110

  4. D.

    1010

Answer

B

Explanation

Let total sum of money be SS. S=60nS = 60n. When 1 child is added, n+1n+1 children get \50each:each:S = 50(n + 1).. 60n = 50n + 50 \Rightarrow 10n = 50 \Rightarrow n = 5.Totalsum. Total sum S = 60 \times 5 = $300$.

Related Arithmetic questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace