PSLEMrs Ken bought a vest and a ring at a discount. She spent a total of $72.40 on these two items. She spent $45.20 more on the ring than on the vest.
- How much did she spend on the ring?
- The total discount given for the two items was $28.60. She was given a 20% discount for the vest. What was the percentage discount given for the ring?
(a)
Amount spent on the vest = 1 u
Amount spent on the ring = 1 u + 45.20
Total amount spent on the vest and the ring
= 1 u + 1 u + 45.20
= 2 u + 45.20
2 u + 45.20 = 72.40
2 u = 72.40 - 45.20
2 u = 27.20
1 u = 27.20 ÷ 2 = 13.60
Amount that Mrs Ken spent on the ring
= 13.60 + 45.20
= $58.80
(b)
|
Vest |
Ring |
Total |
Original price |
100% |
$84 |
|
Discount |
20% $3.40 |
$25.20 |
$28.60 |
Discounted price |
80% $13.60 |
$58.80 |
$72.40 |
Discounted price of the vest
= 100% - 20%
= 80%
80% of the price of the vest = 13.60
1% of the price of the vest = 13.60 ÷ 80
20% of the price of the vest = 13.60 ÷ 80 x 20 = 3.40
Discount given for the ring
= 28.60 - 3.40
= $25.20
Original price of the ring
= 58.80 + 25.20
= $84
Percentage discount of the ring
=
25.2084 x 100%
= 30%
Answer(s): (a) $58.80; (b) 30%