PSLE
Mrs Ryan bought a blazer and a necklace at a discount. She spent a total of $83.10 on these two items. She spent $56.10 more on the necklace than on the blazer.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $18.90. She was given a 10% discount for the blazer. What was the percentage discount given for the necklace?

(a)
Amount spent on the blazer = 1 u
Amount spent on the necklace = 1 u + 56.10

Total amount spent on the blazer and the necklace
= 1 u + 1 u + 56.10
= 2 u + 56.10

2 u + 56.10 = 83.10
2 u = 83.10 - 56.10
2 u = 27.00

1 u = 27.00 ÷ 2 = 13.50

Amount that Mrs Ryan spent on the necklace
= 13.50 + 56.10
= $69.60

(b)

	Blazer	Necklace	Total
Original price	100%	$87
Discount	10%  $1.50	$17.40	$18.90
Discounted price	90% $13.50	$69.60	$83.10

Discounted price of the blazer
= 100% - 10%
= 90%

90% of the price of the blazer = 13.50
1% of the price of the blazer = 13.50 ÷ 90
10% of the price of the blazer = 13.50 ÷ 90 x 10 = 1.50

Discount given for the necklace
= 18.90 - 1.50
= $17.40

Original price of the necklace
= 69.60 + 17.40
= $87

Percentage discount of the necklace
= ^17.40₈₇ x 100%
= 20%

Answer(s): (a) $69.60; (b) 20%