PSLEMrs Ben bought a jumpsuit and a bracelet at a discount. She spent a total of $76.20 on these two items. She spent $45.60 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 $27.80. 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 + 45.60
Total amount spent on the jumpsuit and the bracelet
= 1 u + 1 u + 45.60
= 2 u + 45.60
2 u + 45.60 = 76.20
2 u = 76.20 - 45.60
2 u = 30.60
1 u = 30.60 ÷ 2 = 15.30
Amount that Mrs Ben spent on the bracelet
= 15.30 + 45.60
= $60.90
(b)
|
Jumpsuit |
Bracelet |
Total |
Original price |
100% |
$87 |
|
Discount |
10% $1.70 |
$26.10 |
$27.80 |
Discounted price |
90% $15.30 |
$60.90 |
$76.20 |
Discounted price of the jumpsuit
= 100% - 10%
= 90%
90% of the price of the jumpsuit = 15.30
1% of the price of the jumpsuit = 15.30 ÷ 90
10% of the price of the jumpsuit = 15.30 ÷ 90 x 10 = 1.70
Discount given for the bracelet
= 27.80 - 1.70
= $26.10
Original price of the bracelet
= 60.90 + 26.10
= $87
Percentage discount of the bracelet
=
26.1087 x 100%
= 30%
Answer(s): (a) $60.90; (b) 30%