PSLEMrs Bobby bought a shirt and a bracelet at a discount. She spent a total of $59.70 on these two items. She spent $3.90 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 $24.30. She was given a 10% 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 + 3.90
Total amount spent on the shirt and the bracelet
= 1 u + 1 u + 3.90
= 2 u + 3.90
2 u + 3.90 = 59.70
2 u = 59.70 - 3.90
2 u = 55.80
1 u = 55.80 ÷ 2 = 27.90
Amount that Mrs Bobby spent on the bracelet
= 27.90 + 3.90
= $31.80
(b)
|
Shirt |
Bracelet |
Total |
Original price |
100% |
$53 |
|
Discount |
10% $3.10 |
$21.20 |
$24.30 |
Discounted price |
90% $27.90 |
$31.80 |
$59.70 |
Discounted price of the shirt
= 100% - 10%
= 90%
90% of the price of the shirt = 27.90
1% of the price of the shirt = 27.90 ÷ 90
10% of the price of the shirt = 27.90 ÷ 90 x 10 = 3.10
Discount given for the bracelet
= 24.30 - 3.10
= $21.20
Original price of the bracelet
= 31.80 + 21.20
= $53
Percentage discount of the bracelet
=
21.2053 x 100%
= 40%
Answer(s): (a) $31.80; (b) 40%