PSLEMrs Fabian bought a jumpsuit and a necklace at a discount. She spent a total of $44.70 on these two items. She spent $17.70 more on the necklace than on the jumpsuit.
- How much did she spend on the necklace?
- The total discount given for the two items was $22.30. She was given a 10% discount for the jumpsuit. What was the percentage discount given for the necklace?
(a)
Amount spent on the jumpsuit = 1 u
Amount spent on the necklace = 1 u + 17.70
Total amount spent on the jumpsuit and the necklace
= 1 u + 1 u + 17.70
= 2 u + 17.70
2 u + 17.70 = 44.70
2 u = 44.70 - 17.70
2 u = 27.00
1 u = 27.00 ÷ 2 = 13.50
Amount that Mrs Fabian spent on the necklace
= 13.50 + 17.70
= $31.20
(b)
|
Jumpsuit |
Necklace |
Total |
Original price |
100% |
$52 |
|
Discount |
10% $1.50 |
$20.80 |
$22.30 |
Discounted price |
90% $13.50 |
$31.20 |
$44.70 |
Discounted price of the jumpsuit
= 100% - 10%
= 90%
90% of the price of the jumpsuit = 13.50
1% of the price of the jumpsuit = 13.50 ÷ 90
10% of the price of the jumpsuit = 13.50 ÷ 90 x 10 = 1.50
Discount given for the necklace
= 22.30 - 1.50
= $20.80
Original price of the necklace
= 31.20 + 20.80
= $52
Percentage discount of the necklace
=
20.8052 x 100%
= 40%
Answer(s): (a) $31.20; (b) 40%