Matilda and Jack share a sum of money in the ratio 12:11Matilda got £48.How much did Jack receive?
Question
Matilda and Jack share a sum of money in the ratio 12:11Matilda got £48.How much did Jack receive?
Solution 1
To solve this problem, we first need to understand that the total ratio representing the sum of money is 12 (for Matilda) + 11 (for Jack) = 23.
We know that Matilda's share (£48) represents 12 parts of this total ratio. Therefore, to find the value of 1 part, we divide Matilda's share by 12.
So, £48 / 12 = £4. This means that each part of the ratio is worth £4.
Since Jack's share is represented by 11 parts of the ratio, we multiply the value of 1 part by 11 to find out how much money Jack received.
So, £4 * 11 = £44.
Therefore, Jack received £44.
Solution 2
To solve this problem, we first need to understand that the total ratio representing the sum of money is 12 (for Matilda) + 11 (for Jack) = 23.
We know that Matilda's share (£48) represents 12 parts of this total ratio. Therefore, to find the value of 1 part, we divide Matilda's share by 12.
So, £48 ÷ 12 = £4. This means that each part of the ratio is worth £4.
Since Jack's share is represented by 11 parts of the total ratio, we multiply the value of 1 part by 11 to find out how much money Jack received.
So, £4 x 11 = £44.
Therefore, Jack received £44.
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