Peter & Alex share a lottery win of £4450 in the ratio 4 : 1.
Peter then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3.
How much more does his wife get over their son?
Answers
Answer:
1068
Step-by-step explanation:
1st part
Total amount = £4450
Sum of parts of ratio=4+1=5
Peter's share=4/5*4450=£3560
2nd part
Total amount=3560
Sum of parts of ratio=1+6+3=10
Peter's share=1/10*3560=£356
His wife's share=6/10*3560=£2136
Their son's share=3/10*3560=£1068
Difference in money of his wife and his son=£2136-£1068=£1068.
Peter & Alex share a lottery win of £4450 in the ratio 4 : 1. Peter then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?
- Peter & Alex share a lottery win of £4450 in the ratio 4 : 1
- Peter then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3
How much money his wife get over their son
- Let the money of lottery that peter get = 4x
- Let the money of lottery that alex get = x
And
- Out of peter’s share amount himself get = y
- Amount his wife get = 6y
- Amount their son get =3y
according to question
peter share + alex share =lottery
hence
[after adding 4x and x gives 5x]
[bringing 5 to RHS divides]
- money of lottery that peter get
- money of lottery that alex get
[ ←after adding y and 6y and 3y we get 10y]
[ ←bringing 10 to RHS it get divide]
y=356
- amount he get for himself after getting lottery
- Amount his wife get
- Amount their son get
Money his wife get over their son
[← how much money did mother get more than his son]