PSLEMrs Dylan bought a jumpsuit and a ring at a discount. She spent a total of $88.90 on these two items. She spent $29.50 more on the ring than on the jumpsuit.
- How much did she spend on the ring?
- The total discount given for the two items was $18.10. She was given a 10% discount for the jumpsuit. What was the percentage discount given for the ring?
(a)
Amount spent on the jumpsuit = 1 u
Amount spent on the ring = 1 u + 29.50
Total amount spent on the jumpsuit and the ring
= 1 u + 1 u + 29.50
= 2 u + 29.50
2 u + 29.50 = 88.90
2 u = 88.90 - 29.50
2 u = 59.40
1 u = 59.40 ÷ 2 = 29.70
Amount that Mrs Dylan spent on the ring
= 29.70 + 29.50
= $59.20
(b)
|
Jumpsuit |
Ring |
Total |
Original price |
100% |
$74 |
|
Discount |
10% $3.30 |
$14.80 |
$18.10 |
Discounted price |
90% $29.70 |
$59.20 |
$88.90 |
Discounted price of the jumpsuit
= 100% - 10%
= 90%
90% of the price of the jumpsuit = 29.70
1% of the price of the jumpsuit = 29.70 ÷ 90
10% of the price of the jumpsuit = 29.70 ÷ 90 x 10 = 3.30
Discount given for the ring
= 18.10 - 3.30
= $14.80
Original price of the ring
= 59.20 + 14.80
= $74
Percentage discount of the ring
=
14.8074 x 100%
= 20%
Answer(s): (a) $59.20; (b) 20%