PSLEMrs Will bought a shirt and a bracelet at a discount. She spent a total of $55.10 on these two items. She spent $6.10 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 $30.90. 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 + 6.10
Total amount spent on the shirt and the bracelet
= 1 u + 1 u + 6.10
= 2 u + 6.10
2 u + 6.10 = 55.10
2 u = 55.10 - 6.10
2 u = 49.00
1 u = 49.00 ÷ 2 = 24.50
Amount that Mrs Will spent on the bracelet
= 24.50 + 6.10
= $30.60
(b)
|
Shirt |
Bracelet |
Total |
Original price |
100% |
$51 |
|
Discount |
30% $10.50 |
$20.40 |
$30.90 |
Discounted price |
70% $24.50 |
$30.60 |
$55.10 |
Discounted price of the shirt
= 100% - 30%
= 70%
70% of the price of the shirt = 24.50
1% of the price of the shirt = 24.50 ÷ 70
30% of the price of the shirt = 24.50 ÷ 70 x 30 = 10.50
Discount given for the bracelet
= 30.90 - 10.50
= $20.40
Original price of the bracelet
= 30.60 + 20.40
= $51
Percentage discount of the bracelet
=
20.4051 x 100%
= 40%
Answer(s): (a) $30.60; (b) 40%