Sharing in a Given Ratio Worded Problems
Hilary, Bill and Chelsea share some money in the ratio 2:5:3.
1. If Chelsea gets £27, how much does Hilary get?
2. If Bill gets £10 more than Chelsea, how much money do Hilary, Bill and Chelsea have altogether?
3. If Bill and Chelsea get £40 altogether, how much does Hilary get?
4. If the total amount of money shared is £160, how much more does Bill get than Hilary?
5. If Hilary and Bill together get £24 more than Chelsea, how much do the three have altogether?
Daisy, Erica and Forsythia share some sweets in the ratio 4:7:1.
6. If Daisy gets 60 sweets, how many do they share altogether?
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7. If Erica gets 10 more sweets than the combined total of the other two, how many more does
Daisy get than Forsythia?
8. If Daisy and Erica get 110 sweets altogether, how many does Forsythia get?
9. If there are 72 sweets altogether, how many does Erica get?
10. If Erica gets 42 more sweets than Forsythia, how many sweets does Daisy get?
Grace, Henry and Ilaria take it in turns to stir some cement; the time they each spend
stirring is in the ratio 2:5:1.
11. If Grace spends 24 minutes, how long do they spend altogether?
minutes
12. If Ilaria spends 6 minutes less time than Henry, how long does Grace spend?
minutes
Sharing in a Given Ratio Worded Problems
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13. If they spend 42 minutes altogether, how much longer does Henry spend than Ilaria?
minutes
14. If Ilaria and Henry together spend 10 minutes longer than Grace, how long do Grace and
Henry spend altogether?
minutes
15. If Grace and Ilaria together spend 21 minutes, how long do the three spend altogether?
minutes
Sharing in a Given Ratio Worded Problems
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Sharing in a Given Ratio Worded Problems Answers
Hilary, Bill and Chelsea share some money in the ratio 2:5:3.
1. If Chelsea gets £27, how much does Hilary get?
Hilary
Bill
Chelsea
2
5
3
18
45
27
£18
2. If Bill gets £10 more than Chelsea, how much money do Hilary, Bill and Chelsea have altogether?
Hilary
Bill
Chelsea
B−C
2
5
3
2
10
25
15
10
£50
3. If Bill and Chelsea get £40 altogether, how much does Hilary get?
Hilary
Bill
Chelsea
B+C
2
5
3
8
10
25
15
40
£10
4. If the total amount of money shared is £160, how much more does Bill get than Hilary?
Hilary
Bill
Chelsea
H+B+C
2
5
3
10
32
80
48
160
£48
5. If Hilary and Bill together get £24 more than Chelsea, how much do the three have altogether?
Hilary
Bill
Chelsea
H+B−C
2
5
3
4
12
30
18
24
£60
Daisy, Erica and Forsythia share some sweets in the ratio 4:7:1.
6. If Daisy gets 60 sweets, how many do they share altogether?
Daisy
Erica
Forsythia
4
7
1
60
105
15
180
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7. If Erica gets 10 more sweets than the combined total of the other two, how many more does
Daisy get than Forsythia?
Daisy
Erica
Forsythia
E−D−F
4
7
1
2
20
35
5
10
15
8. If Daisy and Erica get 110 sweets altogether, how many does Forsythia get?
Daisy
Erica
Forsythia
D+E
4
7
1
11
40
70
10
110
10
9. If there are 72 sweets altogether, how many does Erica get?
Daisy
Erica
Forsythia
D+E+F
4
7
1
12
24
42
6
72
42
10. If Erica gets 42 more sweets than Forsythia, how many sweets does Daisy get?
Daisy
Erica
Forsythia
E−F
4
7
1
6
28
49
7
42
28
Grace, Henry and Ilaria take it in turns to stir some cement; the time they each spend stirring is
in the ratio 2:5:1.
11. If Grace spends 24 minutes, how long do they spend altogether?
Grace
Henry
Ilaria
2
5
1
24
60
12
96 minutes
12. If Ilaria spends 6 minutes less time than Henry, how long does Grace spend?
Grace
Henry
Ilaria
H−I
2
5
1
4
3
7.5
1.5
6
3 minutes
Sharing in a Given Ratio Worded Problems Answers
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13. If they spend 42 minutes altogether, how much longer does Henry spend than Ilaria?
Grace
Henry
Ilaria
G+H+I
2
5
1
8
10.5
26.25
5.25
42
21 minutes
14. If Ilaria and Henry together spend 10 minutes longer than Grace, how long do Grace and
Henry spend altogether?
Grace
Henry
Ilaria
I+H−G
2
5
1
4
5
12.5
2.5
10
17.5 minutes
15. If Grace and Ilaria together spend 21 minutes, how long do the three spend altogether?
Grace
Henry
Ilaria
G+I
2
5
1
3
14
35
7
21
56 minutes
Sharing in a Given Ratio Worded Problems Answers
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