PSLEMrs Tom bought a jumpsuit and a necklace at a discount. She spent a total of $72.80 on these two items. She spent $26.60 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 $31.20. She was given a 30% 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 + 26.60
Total amount spent on the jumpsuit and the necklace
= 1 u + 1 u + 26.60
= 2 u + 26.60
2 u + 26.60 = 72.80
2 u = 72.80 - 26.60
2 u = 46.20
1 u = 46.20 ÷ 2 = 23.10
Amount that Mrs Tom spent on the necklace
= 23.10 + 26.60
= $49.70
(b)
|
Jumpsuit |
Necklace |
Total |
Original price |
100% |
$71 |
|
Discount |
30% $9.90 |
$21.30 |
$31.20 |
Discounted price |
70% $23.10 |
$49.70 |
$72.80 |
Discounted price of the jumpsuit
= 100% - 30%
= 70%
70% of the price of the jumpsuit = 23.10
1% of the price of the jumpsuit = 23.10 ÷ 70
30% of the price of the jumpsuit = 23.10 ÷ 70 x 30 = 9.90
Discount given for the necklace
= 31.20 - 9.90
= $21.30
Original price of the necklace
= 49.70 + 21.30
= $71
Percentage discount of the necklace
=
21.3071 x 100%
= 30%
Answer(s): (a) $49.70; (b) 30%