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Question

(a) Amit used to be on the playground 412 times as much as his brother. Now he cut down 113 of the time he used to be on the playground as much as his brother. How much time does he spend on the playground when compared to his brother? 

(b) The sum of two rational numbers is 58. If one of the numbers is 611, find the other number.

(c) Find x such that 38 and x24 are equivalent fractions.
[3 MARKS] 


Solution

Each part: 1 Mark

(a) Amit played 412=92 times of his brother.

He cut down his play by 113=43
The duration Amit plays now
= 9243=196=316.

So, now Amit plays 316 times as his brother.

(b) Let the number be x.

611+x=58

x=58611

x=58+611

x=788

(c)  For 38 and x24 to be equivalent.

38=x24

x=3×248 

x=3×31=9


Mathematics

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