PSLEMrs Warren bought a blazer and a bracelet at a discount. She spent a total of $60.60 on these two items. She spent $7.80 more on the bracelet than on the blazer.
- How much did she spend on the bracelet?
- The total discount given for the two items was $29.40. She was given a 20% discount for the blazer. What was the percentage discount given for the bracelet?
(a)
Amount spent on the blazer = 1 u
Amount spent on the bracelet = 1 u + 7.80
Total amount spent on the blazer and the bracelet
= 1 u + 1 u + 7.80
= 2 u + 7.80
2 u + 7.80 = 60.60
2 u = 60.60 - 7.80
2 u = 52.80
1 u = 52.80 ÷ 2 = 26.40
Amount that Mrs Warren spent on the bracelet
= 26.40 + 7.80
= $34.20
(b)
|
Blazer |
Bracelet |
Total |
Original price |
100% |
$57 |
|
Discount |
20% $6.60 |
$22.80 |
$29.40 |
Discounted price |
80% $26.40 |
$34.20 |
$60.60 |
Discounted price of the blazer
= 100% - 20%
= 80%
80% of the price of the blazer = 26.40
1% of the price of the blazer = 26.40 ÷ 80
20% of the price of the blazer = 26.40 ÷ 80 x 20 = 6.60
Discount given for the bracelet
= 29.40 - 6.60
= $22.80
Original price of the bracelet
= 34.20 + 22.80
= $57
Percentage discount of the bracelet
=
22.8057 x 100%
= 40%
Answer(s): (a) $34.20; (b) 40%