PSLEMrs Glen bought a blazer and a bracelet at a discount. She spent a total of $75.20 on these two items. She spent $22.40 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 $18.80. 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 + 22.40
Total amount spent on the blazer and the bracelet
= 1 u + 1 u + 22.40
= 2 u + 22.40
2 u + 22.40 = 75.20
2 u = 75.20 - 22.40
2 u = 52.80
1 u = 52.80 ÷ 2 = 26.40
Amount that Mrs Glen spent on the bracelet
= 26.40 + 22.40
= $48.80
(b)
|
Blazer |
Bracelet |
Total |
Original price |
100% |
$61 |
|
Discount |
20% $6.60 |
$12.20 |
$18.80 |
Discounted price |
80% $26.40 |
$48.80 |
$75.20 |
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
= 18.80 - 6.60
= $12.20
Original price of the bracelet
= 48.80 + 12.20
= $61
Percentage discount of the bracelet
=
12.2061 x 100%
= 20%
Answer(s): (a) $48.80; (b) 20%