If the sum of money is divided among ‘n’ children, each child will receive $60. If another child is added to the group and the amount is distributed again each child will receive $50. What is the sum of money to be distributed?
Let the money be = Y
If the sum of money is divided among ‘n’ children, each child will receive $60
Y ÷ n = 60 Y = 60n (eqn 1)
If another child is added to the group and the amount is distributed again each child will receive $50
Y ÷ (n+1) = 50 Y = 50 * (n+1) Y = 50n + 50 (eqn 2)
putting (eqn 1) into (eqn 2) 60n = 50n + 50 60n - 50n = 50 10n = 50 n = 50 ÷ 10 n = 5
Remember "n" is the number of children, but the question says What is the sum of money to be distributed?. So what will are looking for is Y, not "n".
If the sum of money is divided among ‘n’ children, each child will receive $60. If another child is added to the group and the amount is distributed again each child will receive $50. What is the sum of money to be distributed?
Let the money be = Y
If the sum of money is divided among ‘n’ children, each child will receive $60
Y ÷ n = 60 Y = 60n (eqn 1)
If another child is added to the group and the amount is distributed again each child will receive $50
Y ÷ (n+1) = 50 Y = 50 * (n+1) Y = 50n + 50 (eqn 2)
putting (eqn 1) into (eqn 2) 60n = 50n + 50 60n - 50n = 50 10n = 50 n = 50 ÷ 10 n = 5
Remember "n" is the number of children, but the question says What is the sum of money to be distributed?. So what will are looking for is Y, not "n".
From (eqn 1) Y = 60n Y = 60 * 5 Y = 300
Answer: $300
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The SSE was the first modern stock exchange to open in China, with trading commencing in 1990. It has now grown to become the largest stock exchange in Asia and the third-largest in the world by market capitalization, which stood at RMB 50.6 trillion (US$7.8 trillion) as of September 2021. Stocks (both A-shares and B-shares), bonds, funds, and derivatives are traded on the exchange. The SEE has two trading boards, the Main Board and the Science and Technology Innovation Board, the latter more commonly known as the STAR Market. The Main Board mainly hosts large, well-established Chinese companies and lists both A-shares and B-shares.
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