Proportion Word Problems

Proportion Word problem: one in every.

    A. To make tins of purple paint you need to mix blue and red.        

1. If one tin in every seven is blue what proportion are red. 6 : 7
2. If there are 3 tins of blue how many red tins would be needed? 3 : 18
3. If you have 20 tins of blue paint how many red tins would you need? 20 : 120
4. Mary made 42 tins. How many tins of blue paint did she use? 6 : 42

       B. A box of sweets contains chocolates and toffees.

1. If one in every five sweets is a toffee, what proportion are chocolates? 4 : 5
2. There are 10 toffees. How many chocolates? 10 : 40
3. If there are 20 sweets altogether how many are chocolates? 16 : 20
4. Mary only likes toffees and Tim loves chocolate. If Mary eats all the toffees from a box containing 40 sweets. How many chocolates are left for Tim? 32 : 40

       C. The lions are fed 10kg of meat a day.

1. If the father lion eats 4kg and the mother eats 4 kg how much is left for the cub? 2kg : 10kg
2. What proportion does the cub eat? 2 : 10
3. What proportion does the mother eat? 4 : 10
4. On Saturdays the lions are given 20kg so the keeper doesn’t need to work on Sundays. How much meat will the cub have? 4kg : 20kg

         D. At the tennis club members are grouped in to adult and junior.

1. If one in every 6 is a junior what proportion are adult members? 5 : 6
2. In one section of the club there are 4 juniors. How many adults in that section? 4 : 24
3. In another section there are 36 members.
1. How many are juniors? 6 : 36
2. How many are adults? 30 : 36

   E. Barry is making a fruit cake which contains raisins, currants and cherries.

1. If one in every 10 pieces of fruit is a currant and two in every five is a cherry what proportion are raisins? 5 : 10
2. He decides that he will make some more cakes for the school summer fayre. If he has 30 raisins how many currants and cherries will he need? 6 : 24 : 30 (1 currant : 4 Cherries : 5 Raisins)
3. Martha has made 40 cakes for the summer fayre. How many of each of the following does she need
1. Raisins? 20 : 40
2. Cherries? 16 : 40
3. Currants? 4 : 40

Proportion Word problem: one in every.

    A. To make tins of purple paint you need to mix blue and red.        

5. If one in every 3 is blue what proportion are red? 2 : 3
6. If there are 2 tins of blue how many red tins would be needed? 2 : 4
7. You need to make 15 tins of purple paint. How many blue tins do you need? 5 : 15
8. Mary made 18 tins. How many tins of blue paint did she use? 6 : 18

       B. A box of sweets contains chocolates and toffees.

5. If one in every five sweets is a toffee, what proportion are chocolates? 4 : 5
6. There are 10 sweets. How many are toffees? 2 : 10
7. If there are 20 sweets altogether how many are toffees? 4 : 20
8. Mary only likes toffees and Tim loves chocolate. If Mary eats all the toffees from a box containing 40 sweets. How many chocolates are left for Tim? 32 : 40

       C. The lions are fed 5 kg of meat a day.

5. If the father lion eats 3kg how much is left for the cub? 2kg : 5kg
6. What proportion does the cub eat? 2kg : 5kg
7. On Saturdays the lions are given 10kg so the keeper doesn’t need to work on Sundays. How much meat will the cub have? 4kg : 10kg

         D. At the tennis club members are grouped in to adult and junior.

4. If one in every 4 is a junior what proportion are adult members? 3 : 4
5. In one section of the club there are 4 juniors. How many adults in that section? 4 : 12
6. In another section there are 24 members.
1. How many are juniors? 6 : 24
2. How many are adults? 18 : 24