 # Sharing in a Given Three-Part Ratio

In this worksheet, students share sums of money in the given three-part ratios. Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Use Ratio Notation

Difficulty level:   ### QUESTION 1 of 10

In this worksheet, we will learn how to share money in a given 3 part ratio. Example

Share £132 in the ratio 1:2:3 between three people.

Method

The first person will have 1 bag of money, the second two bags and the third 3 bags. Each bag holds an equal amount of money.

We need to work out how much money there is in each bag.

Total number of bags = 1 + 2 + 3 = 6 bags.

Sum of money in each bag = £132 ÷ 6 = £22

First person gets       = 1 × £22 = £22

Second person gets  = 2 × £22 = £44

Third person gets      = 3 × £22 = £66

Check: Total = £22 + £44 + £66 = £132

Share £250 in the ratio 1:2:2 between three people.

First person gets       =  1 × £ _______  =  £ ______

Second person gets  =  2 × £ _______  =  £ ______

Third person gets      =  2 × £ _______  =  £ ______

How much does the first person get in £?

(just write the number)

Share £240 in the ratio 1:2:3 between three people.

First person gets       =  1 × £ _______  =  £ ______

Second person gets  =  2 × £ _______  =  £ ______

Third person gets      =  3 × £ _______  =  £ ______

How much does the second person get in £?

(just write the number)

Share £270 in the ratio 1:5:3 between three people.

First person gets       =  1 × £ _______  =  £ ______

Second person gets  =  5 × £ _______  =  £ ______

Third person gets      =  3 × £ _______  =  £ ______

How much does the third person get in £?

(just write the number)

Share £360 in the ratio 1:5:3 between three people.

First person gets       =  1 × £ _______  =  £ ______

Second person gets  =  5 × £ _______  =  £ ______

Third person gets      =  3 × £ _______  =  £ ______

How much does the second person get in £?

(just write the number)

Share £288 in the ratio 2:7:3 between three people.

First person gets       =  2 × £ _______  =  £ ______

Second person gets  =  7 × £ _______  =  £ ______

Third person gets      =  3 × £ _______  =  £ ______

How much does the second person get in £?

(just write the number)

Share £280 in the ratio 5:7:2 between three people.

How much does the first person get in £?

(just write the number)

Share £279 in the ratio 3:4:2 between three people.

How much does the third person get in £?

(just write the number)

Share £300 in the ratio 3:4:5 between three people.

How much does the third person get in £?

(just write the number)

Share £300 in the ratio 1:4:1 between three people.

How much does the second person get in £?

(just write the number)

Share £300 in the ratio 1:4:7 between three people.

How much do the second and third person get in total in £?

(just write the number)

• Question 1

Share £250 in the ratio 1:2:2 between three people.

First person gets       =  1 × £ _______  =  £ ______

Second person gets  =  2 × £ _______  =  £ ______

Third person gets      =  2 × £ _______  =  £ ______

How much does the first person get in £?

(just write the number)

50
EDDIE SAYS
There are £250 in 5 bags, so each bag contains £250 ÷ 5 = £50
• Question 2

Share £240 in the ratio 1:2:3 between three people.

First person gets       =  1 × £ _______  =  £ ______

Second person gets  =  2 × £ _______  =  £ ______

Third person gets      =  3 × £ _______  =  £ ______

How much does the second person get in £?

(just write the number)

80
EDDIE SAYS
There are £240 in 6 bags, so each bag contains £240 ÷ 6 = £40
• Question 3

Share £270 in the ratio 1:5:3 between three people.

First person gets       =  1 × £ _______  =  £ ______

Second person gets  =  5 × £ _______  =  £ ______

Third person gets      =  3 × £ _______  =  £ ______

How much does the third person get in £?

(just write the number)

90
EDDIE SAYS
There are £270 in 9 bags, so each bag contains £270 ÷ 9 = £30
• Question 4

Share £360 in the ratio 1:5:3 between three people.

First person gets       =  1 × £ _______  =  £ ______

Second person gets  =  5 × £ _______  =  £ ______

Third person gets      =  3 × £ _______  =  £ ______

How much does the second person get in £?

(just write the number)

200
EDDIE SAYS
There are £360 in 9 bags, so each bag contains £360 ÷ 9 = £40
• Question 5

Share £288 in the ratio 2:7:3 between three people.

First person gets       =  2 × £ _______  =  £ ______

Second person gets  =  7 × £ _______  =  £ ______

Third person gets      =  3 × £ _______  =  £ ______

How much does the second person get in £?

(just write the number)

168
EDDIE SAYS
There are £288 in 12 bags, so each bag contains £288 ÷ 12 = £24
• Question 6

Share £280 in the ratio 5:7:2 between three people.

How much does the first person get in £?

(just write the number)

100
EDDIE SAYS
There are £280 in 14 bags, so each bag contains £280 ÷ 14 = £20
• Question 7

Share £279 in the ratio 3:4:2 between three people.

How much does the third person get in £?

(just write the number)

62
EDDIE SAYS
There are £279 in 9 bags, so each bag contains £279 ÷ 9 = £31
• Question 8

Share £300 in the ratio 3:4:5 between three people.

How much does the third person get in £?

(just write the number)

125
EDDIE SAYS
There are £300 in 12 bags, so each bag contains £300 ÷ 12 = £25
• Question 9

Share £300 in the ratio 1:4:1 between three people.

How much does the second person get in £?

(just write the number)

200
EDDIE SAYS
There are £300 in 6 bags, so each bag contains £300 ÷ 6 = £50
• Question 10

Share £300 in the ratio 1:4:7 between three people.

How much do the second and third person get in total in £?

(just write the number)

275
EDDIE SAYS
There are £300 in 12 bags, so each bag contains £300 ÷ 12 = £25
---- OR ----

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