PSLE
Mrs Seth bought a blazer and a bracelet at a discount. She spent a total of $59.20 on these two items. She spent $11.60 more on the bracelet than on the blazer.

1. How much did she spend on the bracelet?
2. The total discount given for the two items was $33.80. She was given a 30% discount for the blazer. What was the percentage discount given for the bracelet?

(a)
Amount spent on the blazer = 1 u
Amount spent on the bracelet = 1 u + 11.60

Total amount spent on the blazer and the bracelet
= 1 u + 1 u + 11.60
= 2 u + 11.60

2 u + 11.60 = 59.20
2 u = 59.20 - 11.60
2 u = 47.60

1 u = 47.60 ÷ 2 = 23.80

Amount that Mrs Seth spent on the bracelet
= 23.80 + 11.60
= $35.40

(b)

	Blazer	Bracelet	Total
Original price	100%	$59
Discount	30%  $10.20	$23.60	$33.80
Discounted price	70% $23.80	$35.40	$59.20

Discounted price of the blazer
= 100% - 30%
= 70%

70% of the price of the blazer = 23.80
1% of the price of the blazer = 23.80 ÷ 70
30% of the price of the blazer = 23.80 ÷ 70 x 30 = 10.20

Discount given for the bracelet
= 33.80 - 10.20
= $23.60

Original price of the bracelet
= 35.40 + 23.60
= $59

Percentage discount of the bracelet
= ^23.60₅₉ x 100%
= 40%

Answer(s): (a) $35.40; (b) 40%