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Saturday, February 28, 2009

Nanyang Pri Sch P6 CA1 2008 Math Q44

Sandy and Christine went to the bookshop and bought some stationary. Sandy bought 6 pens and 4 exercise books for $6.60. Christine bought 4 pens and 6 exercise books for $5.90. How much does each pen cost?

Solution


(Sandy) 6 pens + 4 books ----- $6.60 (x3)
(Christine) 4 pens + 6 books ----- $5.90 (x2)

(Sandy) 18 pens + 12 books ----- $19.80
(Christine) 8 pens + 12 books ----- $11.80

Difference in price between what Sandy and Christine paid:-
$19.80 - $11.80 = $8

Sandy paid $8 more because she bought 10 more pens than Christine:-
10 pens ----- $8
1 pen ----- $8 divided by 10 = $0.80

Answer: Each pen costs $0.80

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