PSLE
Mrs Vincent bought a jacket and a necklace at a discount. She spent a total of $59.90 on these two items. She spent $39.10 more on the necklace than on the jacket.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $8.10. She was given a 20% discount for the jacket. What was the percentage discount given for the necklace?

(a)
Amount spent on the jacket = 1 u
Amount spent on the necklace = 1 u + 39.10

Total amount spent on the jacket and the necklace
= 1 u + 1 u + 39.10
= 2 u + 39.10

2 u + 39.10 = 59.90
2 u = 59.90 - 39.10
2 u = 20.80

1 u = 20.80 ÷ 2 = 10.40

Amount that Mrs Vincent spent on the necklace
= 10.40 + 39.10
= $49.50

(b)

	Jacket	Necklace	Total
Original price	100%	$55
Discount	20%  $2.60	$5.50	$8.10
Discounted price	80% $10.40	$49.50	$59.90

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

80% of the price of the jacket = 10.40
1% of the price of the jacket = 10.40 ÷ 80
20% of the price of the jacket = 10.40 ÷ 80 x 20 = 2.60

Discount given for the necklace
= 8.10 - 2.60
= $5.50

Original price of the necklace
= 49.50 + 5.50
= $55

Percentage discount of the necklace
= ^5.50₅₅ x 100%
= 10%

Answer(s): (a) $49.50; (b) 10%