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# Challenging question this year?

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At first, Box F had 18 pears and 42 lemons while Box G had 36 pears and 50 lemons. Then, some lemons were moved from Box F to Box G and some pears were moved from Box G to Box F. In the end, Box F contained pears and lemons in the ratio 3:4 while

(a)  In the end, how many lemons were in Box F?

(b)  In the end, how many more pears did Box G contain than Box F?

Aug 31, 2021

#1
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Your "challenging question" is incomplete!!! ---------------------------------------------------------------

At first, Box F had 18 pears and 42 lemons while Box G had 36 pears and 50 lemons. Then, some lemons were moved from Box F to Box G and some pears were moved from Box G to Box F. In the end, Box F contained pears and lemons in the ratio 3:4 while Box G contained pears and lemons in the ratio 1:2.

(a)  In the end, how many lemons were in Box F?

(b)  In the end, how many more pears did Box G contain than Box F?

Aug 31, 2021
#2
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Here

At first, Box F had 18 pears and 42 lemons while Box G had 36 pears and 50 lemons. Then, some lemons were moved from Box F to Box G and some pears were moved from Box G to Box F. In the end, Box F contained pears and lemons in the ratio 3:4 while Box G contained pears and lemons in the ratio 1:2

(a)  In the end, how many lemons were in Box F?

(b)  In the end, how many more pears did Box G contain than Box F?

Guest Aug 31, 2021
#3
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P==Pears,  L==Lemons

[18 + P] / [42 - L] ==3 /4,
[36 - P] / [50 + L] ==1/2, solve for A, B
L==10,  P==6
Box F ==18 + 6=24 pears
==42 - 10=32 lemons

Box G ==36 - 6 ==30 pears
==50 + 10=60 lemons.

(a) - In the end, there were ==32 Lemons in Box F

(b) - In the end, there were: 30  -  24 ==6 more Pears in Box G than Box F

Aug 31, 2021