Thursday, September 9, 2010

Whole number P6 2010 SA2 Red Swastika P2 Q17

A cashier had 181 pieces of $2 and $50 notes in her cash register. She took out 5/8 of the $50 notes and put in another eleven $2 notes. As a result, the number of the $2 notes was eight times the number of the $50 notes. What was the total value of her $2 and $50 notes in her cash register at first? [5 marks][Answer given: $2666]


     $2                       $50
-----------------------------
181 - 8 u                  8 u
+ 11                       - 5 u
-----------------------------
192 - 8 u                  3 u
    8              :            1
-----------------------------

192 - 8 u --> 8 x 3 u = 24 u
32 u --> 192
1 u --> 192/32 = 6

8 u --> 8 x 6 = 48

48 x 50 = $2400

181 - 48 = 133

133 x 2 = $266

2400 + 266 = $2666

It was $2666.

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