PSLEMrs Valen bought a jumpsuit and a bracelet at a discount. She spent a total of $86.40 on these two items. She spent $66.60 more on the bracelet than on the jumpsuit.
- How much did she spend on the bracelet?
- The total discount given for the two items was $9.60. She was given a 10% discount for the jumpsuit. What was the percentage discount given for the bracelet?
(a)
Amount spent on the jumpsuit = 1 u
Amount spent on the bracelet = 1 u + 66.60
Total amount spent on the jumpsuit and the bracelet
= 1 u + 1 u + 66.60
= 2 u + 66.60
2 u + 66.60 = 86.40
2 u = 86.40 - 66.60
2 u = 19.80
1 u = 19.80 ÷ 2 = 9.90
Amount that Mrs Valen spent on the bracelet
= 9.90 + 66.60
= $76.50
(b)
|
Jumpsuit |
Bracelet |
Total |
Original price |
100% |
$85 |
|
Discount |
10% $1.10 |
$8.50 |
$9.60 |
Discounted price |
90% $9.90 |
$76.50 |
$86.40 |
Discounted price of the jumpsuit
= 100% - 10%
= 90%
90% of the price of the jumpsuit = 9.90
1% of the price of the jumpsuit = 9.90 ÷ 90
10% of the price of the jumpsuit = 9.90 ÷ 90 x 10 = 1.10
Discount given for the bracelet
= 9.60 - 1.10
= $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%