His wife gets £1068 more over their son
Step-by-step explanation:
The given is:
We need to find how much more his wife gets over their son
We use the ratio method to solve the problem
∵ Nick & Angad share a lottery win of £4450 in the ratio 3 : 2
→ Nick : Angad : Total
→ 3 : 2 : 5 (3 + 2 = 5)
→ x : : 4450
By using cross multiplication between Nick and Total
∵ x × 5 = 3 × 4450
∴ 5 x = 13350
- Divide both sides by 5
∴ x = 2670
∵ x represents the part of Nick
∴ The part of Nick is £2670
∵ Nick shares his part between himself, his wife & their son
in the ratio 4 : 5 : 1
∵ Nick part is 2670
→ Nick : wife : son : total
→ 4 : 5 : 1 : 10 (4 + 5 + 1 = 10)
→ : y : z : 2670
By using cross multiplication between his wife and the total
∵ 10 × y = 5 × 2670
∴ 10 y = 13350
- Divide both sides by 10
∴ y = 1335
∵ y represents the part of his wife
∴ The part of his wife is £1335
By using cross multiplication between their son and the total
∵ 10 × z = 1 × 2670
∴ 10 z = 2670
- Divide both sides by 10
∴ z = 267
∵ z represents the part of their son
∴ The part of their son is £267
Now let us subtract the part of their son from the part of his wife to find how much his wife gets over their son
∵ The part of his wife = 1335
∵ The part of their son = 267
∴ The difference = 1335 - 267 = 1068
∴ His wife gets £1068 more over their son
His wife gets £1068 more over their son
Learn more:
You can learn more about the ratio in brainly.com/question/13062539
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