PSLEMrs Ken bought a vest and a ring at a discount. She spent a total of $61.50 on these two items. She spent $41.70 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 $35.50. She was given a 10% 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 + 41.70
Total amount spent on the vest and the ring
= 1 u + 1 u + 41.70
= 2 u + 41.70
2 u + 41.70 = 61.50
2 u = 61.50 - 41.70
2 u = 19.80
1 u = 19.80 ÷ 2 = 9.90
Amount that Mrs Ken spent on the ring
= 9.90 + 41.70
= $51.60
(b)
|
Vest |
Ring |
Total |
Original price |
100% |
$86 |
|
Discount |
10% $1.10 |
$34.40 |
$35.50 |
Discounted price |
90% $9.90 |
$51.60 |
$61.50 |
Discounted price of the vest
= 100% - 10%
= 90%
90% of the price of the vest = 9.90
1% of the price of the vest = 9.90 ÷ 90
10% of the price of the vest = 9.90 ÷ 90 x 10 = 1.10
Discount given for the ring
= 35.50 - 1.10
= $34.40
Original price of the ring
= 51.60 + 34.40
= $86
Percentage discount of the ring
=
34.4086 x 100%
= 40%
Answer(s): (a) $51.60; (b) 40%