PSLE
Mrs Archie bought a blazer and a necklace at a discount. She spent a total of $85.80 on these two items. She spent $34.60 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 $32.20. She was given a 20% 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 + 34.60

Total amount spent on the blazer and the necklace
= 1 u + 1 u + 34.60
= 2 u + 34.60

2 u + 34.60 = 85.80
2 u = 85.80 - 34.60
2 u = 51.20

1 u = 51.20 ÷ 2 = 25.60

Amount that Mrs Archie spent on the necklace
= 25.60 + 34.60
= $60.20

(b)

	Blazer	Necklace	Total
Original price	100%	$86
Discount	20%  $6.40	$25.80	$32.20
Discounted price	80% $25.60	$60.20	$85.80

Discounted price of the blazer
= 100% - 20%
= 80%

80% of the price of the blazer = 25.60
1% of the price of the blazer = 25.60 ÷ 80
20% of the price of the blazer = 25.60 ÷ 80 x 20 = 6.40

Discount given for the necklace
= 32.20 - 6.40
= $25.80

Original price of the necklace
= 60.20 + 25.80
= $86

Percentage discount of the necklace
= ^25.80₈₆ x 100%
= 30%

Answer(s): (a) $60.20; (b) 30%