During a bonanza, the discount given by Stall W and Stall X are as shown:
Stall W - Discount of $9 for every $45 spent
Stall X - 25% off Storewide
- Opal wants to buy a jacket. The price of the jacket before discount in both shops is $350. What is the savings that Opal makes if she buys at the shop that sells the same jacket cheaper?
- Kimberly bought a coat and a hoodie from Stall W and paid $324. What was the total cost of the coat and the hoodie before the discount?
- The price of the same hoodie after discount at Stall X is $64.50. Given that the price of the hoodie before discount is the same in both stalls, what is the percentage discount given to the hoodie at Stall W? Round off the answer to 1 decimal place.
(a)
Amount to pay at Stall W for every $45 spent
= 45 - 9
= $36
Number of sets of $45 in $350
= 350 ÷ 45
= 7 r 35
Discounted price of the jacket at Stall W
= 7 x 36 + 35
= $287
Discounted price of the jacket at Stall X
= 75% x 350
=
75100 x 350
= $262.50
Amount of savings
= 287 - 262.50
= $24.50
(b)
Number of sets of $36 in $324
= 324 ÷ 36
= 9
Total cost of the coat and the hoodie
= 9 x 45
= $405
(c)
|
Stall W |
Stall X |
Original Price |
$86 |
$86 |
Discount |
- $9 |
- 25% |
Discounted Price |
$77 |
$64.50 |
Original price of the hoodie at Stall X before discount
= 64.50 ÷
75100= $86
If the original price of the hoodie at Stall W and Stall X is the same, the original price of the hoodie at Stall W is $86.
Number of sets of $45 in $86
= 86 ÷ 45
= 1 r 41
Discounted price of the hoodie at Stall W
= 1 x 36 + 41
= $77
Discount given for the hoodie at Stall W
= 86 - 77
= $9
Percent discount given to the hoodie at Stall W
= 100% x
986 ≈ 10.5%
Answer(s): (a) $24.50; (b) $405; (c) 10.5%