PSLEMrs Riordan bought a blazer and a bracelet at a discount. She spent a total of $83.20 on these two items. She spent $57.60 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 $20.80. 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 + 57.60
Total amount spent on the blazer and the bracelet
= 1 u + 1 u + 57.60
= 2 u + 57.60
2 u + 57.60 = 83.20
2 u = 83.20 - 57.60
2 u = 25.60
1 u = 25.60 ÷ 2 = 12.80
Amount that Mrs Riordan spent on the bracelet
= 12.80 + 57.60
= $70.40
(b)
|
Blazer |
Bracelet |
Total |
Original price |
100% |
$88 |
|
Discount |
20% $3.20 |
$17.60 |
$20.80 |
Discounted price |
80% $12.80 |
$70.40 |
$83.20 |
Discounted price of the blazer
= 100% - 20%
= 80%
80% of the price of the blazer = 12.80
1% of the price of the blazer = 12.80 ÷ 80
20% of the price of the blazer = 12.80 ÷ 80 x 20 = 3.20
Discount given for the bracelet
= 20.80 - 3.20
= $17.60
Original price of the bracelet
= 70.40 + 17.60
= $88
Percentage discount of the bracelet
=
17.6088 x 100%
= 20%
Answer(s): (a) $70.40; (b) 20%