PSLEMrs Lee bought a coat and a necklace at a discount. She spent a total of $68.60 on these two items. She spent $39.20 more on the necklace than on the coat.
- How much did she spend on the necklace?
- The total discount given for the two items was $29.40. She was given a 30% discount for the coat. What was the percentage discount given for the necklace?
(a)
Amount spent on the coat = 1 u
Amount spent on the necklace = 1 u + 39.20
Total amount spent on the coat and the necklace
= 1 u + 1 u + 39.20
= 2 u + 39.20
2 u + 39.20 = 68.60
2 u = 68.60 - 39.20
2 u = 29.40
1 u = 29.40 ÷ 2 = 14.70
Amount that Mrs Lee spent on the necklace
= 14.70 + 39.20
= $53.90
(b)
|
Coat |
Necklace |
Total |
Original price |
100% |
$77 |
|
Discount |
30% $6.30 |
$23.10 |
$29.40 |
Discounted price |
70% $14.70 |
$53.90 |
$68.60 |
Discounted price of the coat
= 100% - 30%
= 70%
70% of the price of the coat = 14.70
1% of the price of the coat = 14.70 ÷ 70
30% of the price of the coat = 14.70 ÷ 70 x 30 = 6.30
Discount given for the necklace
= 29.40 - 6.30
= $23.10
Original price of the necklace
= 53.90 + 23.10
= $77
Percentage discount of the necklace
=
23.1077 x 100%
= 30%
Answer(s): (a) $53.90; (b) 30%