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Question

Answer sheet’s answer is $60, but I think it is not correct. Can someone help me. TIA.

Answer

This is the way I would explain to my kids.

a) 1/3 spent on basketball, therefore remaining amount of money is 2/3

b) 3/4 of 2/3 spent on badminton racquet, therefore 3/4 x 2/3 = 6/12 (or 1/2)

c) 1/3 + 1/2 of the money spent on the above, therefore remaining amount is 1 – (1/3 + 1/2) = 1/6

d) 1/6 = $5 + 1/8. If we shift the equation around, 1/6 – 1/8 = $5, therefore 1/24 = $5

e) Half the initial amount of money was spent on the badminton racquet, therefore 12 x $5 = $60

So the cost of the badminton racquet is $60.

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Sorry. I don’t know how to explain clearly, but the answer $60 is correct.

a) 1U = 1/8 + 5

b) 5U + 5 = 7/8

     5U = 7/8 – 5

c) To get rid of the fraction, (a) times 7

     7U = (1/8 + 5) * 7

           = 7/8 + 35

d) Using (c) – (b):

      7U – 5U = (7/8 + 35) – (7/8 – 5)

               2U = 40 (*note: 35 minus, minus 5 = 35+5)

               3U = (40/2) * 3

                     = $60

 

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