PSLEMrs Ryan bought a dress and a bracelet at a discount. She spent a total of $56.70 on these two items. She spent $20.30 more on the bracelet than on the dress.
- How much did she spend on the bracelet?
- The total discount given for the two items was $24.30. She was given a 30% discount for the dress. What was the percentage discount given for the bracelet?
(a)
Amount spent on the dress = 1 u
Amount spent on the bracelet = 1 u + 20.30
Total amount spent on the dress and the bracelet
= 1 u + 1 u + 20.30
= 2 u + 20.30
2 u + 20.30 = 56.70
2 u = 56.70 - 20.30
2 u = 36.40
1 u = 36.40 ÷ 2 = 18.20
Amount that Mrs Ryan spent on the bracelet
= 18.20 + 20.30
= $38.50
(b)
|
Dress |
Bracelet |
Total |
Original price |
100% |
$55 |
|
Discount |
30% $7.80 |
$16.50 |
$24.30 |
Discounted price |
70% $18.20 |
$38.50 |
$56.70 |
Discounted price of the dress
= 100% - 30%
= 70%
70% of the price of the dress = 18.20
1% of the price of the dress = 18.20 ÷ 70
30% of the price of the dress = 18.20 ÷ 70 x 30 = 7.80
Discount given for the bracelet
= 24.30 - 7.80
= $16.50
Original price of the bracelet
= 38.50 + 16.50
= $55
Percentage discount of the bracelet
=
16.5055 x 100%
= 30%
Answer(s): (a) $38.50; (b) 30%