PSLEMrs Luke bought a coat and a necklace at a discount. She spent a total of $75.30 on these two items. She spent $31.90 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 $22.70. 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 + 31.90
Total amount spent on the coat and the necklace
= 1 u + 1 u + 31.90
= 2 u + 31.90
2 u + 31.90 = 75.30
2 u = 75.30 - 31.90
2 u = 43.40
1 u = 43.40 ÷ 2 = 21.70
Amount that Mrs Luke spent on the necklace
= 21.70 + 31.90
= $53.60
(b)
|
Coat |
Necklace |
Total |
Original price |
100% |
$67 |
|
Discount |
30% $9.30 |
$13.40 |
$22.70 |
Discounted price |
70% $21.70 |
$53.60 |
$75.30 |
Discounted price of the coat
= 100% - 30%
= 70%
70% of the price of the coat = 21.70
1% of the price of the coat = 21.70 ÷ 70
30% of the price of the coat = 21.70 ÷ 70 x 30 = 9.30
Discount given for the necklace
= 22.70 - 9.30
= $13.40
Original price of the necklace
= 53.60 + 13.40
= $67
Percentage discount of the necklace
=
13.4067 x 100%
= 20%
Answer(s): (a) $53.60; (b) 20%