PSLEMrs Riordan bought a blazer and a bracelet at a discount. She spent a total of $83.70 on these two items. She spent $57.10 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 $23.30. She was given a 30% 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 + 57.10
Total amount spent on the blazer and the bracelet
= 1 u + 1 u + 57.10
= 2 u + 57.10
2 u + 57.10 = 83.70
2 u = 83.70 - 57.10
2 u = 26.60
1 u = 26.60 ÷ 2 = 13.30
Amount that Mrs Riordan spent on the bracelet
= 13.30 + 57.10
= $70.40
(b)
|
Blazer |
Bracelet |
Total |
Original price |
100% |
$88 |
|
Discount |
30% $5.70 |
$17.60 |
$23.30 |
Discounted price |
70% $13.30 |
$70.40 |
$83.70 |
Discounted price of the blazer
= 100% - 30%
= 70%
70% of the price of the blazer = 13.30
1% of the price of the blazer = 13.30 ÷ 70
30% of the price of the blazer = 13.30 ÷ 70 x 30 = 5.70
Discount given for the bracelet
= 23.30 - 5.70
= $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%