PSLE
Mrs Fred bought a jacket and a necklace at a discount. She spent a total of $58.50 on these two items. She spent $17.10 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 $27.50. She was given a 10% 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 + 17.10

Total amount spent on the jacket and the necklace
= 1 u + 1 u + 17.10
= 2 u + 17.10

2 u + 17.10 = 58.50
2 u = 58.50 - 17.10
2 u = 41.40

1 u = 41.40 ÷ 2 = 20.70

Amount that Mrs Fred spent on the necklace
= 20.70 + 17.10
= $37.80

(b)

	Jacket	Necklace	Total
Original price	100%	$63
Discount	10%  $2.30	$25.20	$27.50
Discounted price	90% $20.70	$37.80	$58.50

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

90% of the price of the jacket = 20.70
1% of the price of the jacket = 20.70 ÷ 90
10% of the price of the jacket = 20.70 ÷ 90 x 10 = 2.30

Discount given for the necklace
= 27.50 - 2.30
= $25.20

Original price of the necklace
= 37.80 + 25.20
= $63

Percentage discount of the necklace
= ^25.20₆₃ x 100%
= 40%

Answer(s): (a) $37.80; (b) 40%