PSLEMrs Lee bought a dress and a ring at a discount. She spent a total of $66.10 on these two items. She spent $6.70 more on the ring than on the dress.
- How much did she spend on the ring?
- The total discount given for the two items was $18.90. She was given a 10% discount for the dress. What was the percentage discount given for the ring?
(a)
Amount spent on the dress = 1 u
Amount spent on the ring = 1 u + 6.70
Total amount spent on the dress and the ring
= 1 u + 1 u + 6.70
= 2 u + 6.70
2 u + 6.70 = 66.10
2 u = 66.10 - 6.70
2 u = 59.40
1 u = 59.40 ÷ 2 = 29.70
Amount that Mrs Lee spent on the ring
= 29.70 + 6.70
= $36.40
(b)
|
Dress |
Ring |
Total |
Original price |
100% |
$52 |
|
Discount |
10% $3.30 |
$15.60 |
$18.90 |
Discounted price |
90% $29.70 |
$36.40 |
$66.10 |
Discounted price of the dress
= 100% - 10%
= 90%
90% of the price of the dress = 29.70
1% of the price of the dress = 29.70 ÷ 90
10% of the price of the dress = 29.70 ÷ 90 x 10 = 3.30
Discount given for the ring
= 18.90 - 3.30
= $15.60
Original price of the ring
= 36.40 + 15.60
= $52
Percentage discount of the ring
=
15.6052 x 100%
= 30%
Answer(s): (a) $36.40; (b) 30%