PSLEMrs Ryan bought a shirt and a bracelet at a discount. She spent a total of $103.80 on these two items. She spent $49.20 more on the bracelet than on the shirt.
- How much did she spend on the bracelet?
- The total discount given for the two items was $20.20. She was given a 30% discount for the shirt. What was the percentage discount given for the bracelet?
(a)
Amount spent on the shirt = 1 u
Amount spent on the bracelet = 1 u + 49.20
Total amount spent on the shirt and the bracelet
= 1 u + 1 u + 49.20
= 2 u + 49.20
2 u + 49.20 = 103.80
2 u = 103.80 - 49.20
2 u = 54.60
1 u = 54.60 ÷ 2 = 27.30
Amount that Mrs Ryan spent on the bracelet
= 27.30 + 49.20
= $76.50
(b)
|
Shirt |
Bracelet |
Total |
Original price |
100% |
$85 |
|
Discount |
30% $11.70 |
$8.50 |
$20.20 |
Discounted price |
70% $27.30 |
$76.50 |
$103.80 |
Discounted price of the shirt
= 100% - 30%
= 70%
70% of the price of the shirt = 27.30
1% of the price of the shirt = 27.30 ÷ 70
30% of the price of the shirt = 27.30 ÷ 70 x 30 = 11.70
Discount given for the bracelet
= 20.20 - 11.70
= $8.50
Original price of the bracelet
= 76.50 + 8.50
= $85
Percentage discount of the bracelet
=
8.5085 x 100%
= 10%
Answer(s): (a) $76.50; (b) 10%