PSLEMrs Archie bought a vest and a ring at a discount. She spent a total of $71.40 on these two items. She spent $58.20 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 $20.60. She was given a 40% 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 + 58.20
Total amount spent on the vest and the ring
= 1 u + 1 u + 58.20
= 2 u + 58.20
2 u + 58.20 = 71.40
2 u = 71.40 - 58.20
2 u = 13.20
1 u = 13.20 ÷ 2 = 6.60
Amount that Mrs Archie spent on the ring
= 6.60 + 58.20
= $64.80
(b)
|
Vest |
Ring |
Total |
Original price |
100% |
$81 |
|
Discount |
40% $4.40 |
$16.20 |
$20.60 |
Discounted price |
60% $6.60 |
$64.80 |
$71.40 |
Discounted price of the vest
= 100% - 40%
= 60%
60% of the price of the vest = 6.60
1% of the price of the vest = 6.60 ÷ 60
40% of the price of the vest = 6.60 ÷ 60 x 40 = 4.40
Discount given for the ring
= 20.60 - 4.40
= $16.20
Original price of the ring
= 64.80 + 16.20
= $81
Percentage discount of the ring
=
16.2081 x 100%
= 20%
Answer(s): (a) $64.80; (b) 20%