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Question

Helen spent $3 more than Mary during recess.  They spent $K in total. How much did Helen spend? Give your answer in terms of k. 

Is answer: $(3+k-3/2) but Answer sheet: $(k+3/2)

Answer

post-16906

Maybe a model picture will help to see the problem clearer.

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Does this only apply to algebra questions? Because in normal unit questions, we just need to use total amount, says, $30 minus $3, divided by 2 and add back $3. DS n I are confused!

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Actually, most students will be expected to understand basic algebra to a certain degree for P6 level.

Hence, Ender’s solution will be better approach to solve this problem as it is more direct and faster. 

However, if the student is not so familiar with algebra, then perhaps this model approach may serves as another alternative to the answer.

 

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post-16932

It depends on “who” you defined as “1 unit” ?  Is it Henry or Mary ?

If you define M as “1 unit”, then the working will be like what you mentioned….use total amount, says, $30 minus $3, divided by 2 and add back $3 ( refer to the picture attached ).

But the final answer will still be the same = ( K + 3 ) / 2  ,  no matter which approach you use.

 

Hope this answer your doubt.

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H + H – 3 = k
2H – 3 = k
2H = K+3
H = (K+3)/2

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