PSLEMrs Reggie bought a coat and a necklace at a discount. She spent a total of $45.20 on these two items. She spent $24.40 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 $25.80. She was given a 20% 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 + 24.40
Total amount spent on the coat and the necklace
= 1 u + 1 u + 24.40
= 2 u + 24.40
2 u + 24.40 = 45.20
2 u = 45.20 - 24.40
2 u = 20.80
1 u = 20.80 ÷ 2 = 10.40
Amount that Mrs Reggie spent on the necklace
= 10.40 + 24.40
= $34.80
(b)
|
Coat |
Necklace |
Total |
Original price |
100% |
$58 |
|
Discount |
20% $2.60 |
$23.20 |
$25.80 |
Discounted price |
80% $10.40 |
$34.80 |
$45.20 |
Discounted price of the coat
= 100% - 20%
= 80%
80% of the price of the coat = 10.40
1% of the price of the coat = 10.40 ÷ 80
20% of the price of the coat = 10.40 ÷ 80 x 20 = 2.60
Discount given for the necklace
= 25.80 - 2.60
= $23.20
Original price of the necklace
= 34.80 + 23.20
= $58
Percentage discount of the necklace
=
23.2058 x 100%
= 40%
Answer(s): (a) $34.80; (b) 40%