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Question

In a shop, apples are packed in bags of 8, oranges in bags 5 and pears in bags of 3.

Jermaine, Karen and Linda each bought an equal number of bags of fruits. Jermaine and Karen bought both apples and pears while Linda bought oranges only.

a(i) Jermaine bought 2 more bags of pears than apples while Karen bought 2 more bags of apples than pears. Who bought more fruits in total?

(ii) How many more?

(b) Linda counted all her oranges and Jermaine counted all her apples and pears. Linda had 2 more fruit than Jermaine. How many bags of fruit did the 3 girls buy in all?

Answer

J: Pears ->(u + 2) bags 

    Apples -> (u) bags

K: Pears -> (u) bags

     Apples -> (u+2) bags

L: Oranges -> (2u+2) bags

a i) Karen has more

   ii) (2×8)-(2×3)=16-6

                           =10

Karen has 10 more fruits than Jermaine

b) By number of fruits,

J: 3u+6+8u=11u+6

L:5u+5u+10=10u+10

11u+6+2=10u+10

u=10-8

   =2

Number of bags per girl –>2u+2

                                              =4+2

                                              =6

Total number of bags–>3×6

                                        =18

 

Note: above solution would be clearer when presented in model. However, I’m having problem uploading any images/documents at the moment.

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