PSLEMrs Reggie bought a skirt and a bracelet at a discount. She spent a total of $73.30 on these two items. She spent $38.30 more on the bracelet than on the skirt.
- How much did she spend on the bracelet?
- The total discount given for the two items was $13.70. She was given a 30% discount for the skirt. What was the percentage discount given for the bracelet?
(a)
Amount spent on the skirt = 1 u
Amount spent on the bracelet = 1 u + 38.30
Total amount spent on the skirt and the bracelet
= 1 u + 1 u + 38.30
= 2 u + 38.30
2 u + 38.30 = 73.30
2 u = 73.30 - 38.30
2 u = 35.00
1 u = 35.00 ÷ 2 = 17.50
Amount that Mrs Reggie spent on the bracelet
= 17.50 + 38.30
= $55.80
(b)
|
Skirt |
Bracelet |
Total |
Original price |
100% |
$62 |
|
Discount |
30% $7.50 |
$6.20 |
$13.70 |
Discounted price |
70% $17.50 |
$55.80 |
$73.30 |
Discounted price of the skirt
= 100% - 30%
= 70%
70% of the price of the skirt = 17.50
1% of the price of the skirt = 17.50 ÷ 70
30% of the price of the skirt = 17.50 ÷ 70 x 30 = 7.50
Discount given for the bracelet
= 13.70 - 7.50
= $6.20
Original price of the bracelet
= 55.80 + 6.20
= $62
Percentage discount of the bracelet
=
6.2062 x 100%
= 10%
Answer(s): (a) $55.80; (b) 10%