CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q4

A department store was offering a promotion for customers who bought T-shirts. Any customer who bought 3-T shirts would get a 50% discount on the 3rd T-shirt. Pamela bought 3 T-shirts and paid an average cost of $11.90 for each T-shirt. Find the orginal price of one T-shirt.

Solution

Original Price of 1 T-shirt --> 2 units
Price of 3rd T-shirt --> 1 unit

2 T-shirts at original price + 1 discounted price T-shirt --> $11.90 (avg)
(2 x 2 units) + 1 unit --> $11.90 x 3 = $37.50 (total)
4 units + 1 unit --> $37.50
5 units --> $37.50
1 unit --> $37.50 divided by 5 = $7.14
2 units --> 2 x $7.14 = $14.28

Answer: $14.28

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