During a bonanza, the discount given by Shop C and Shop D are as shown:
Shop C - Discount of $8 for every $40 spent
Shop D - 25% off Storewide

1. Erika wants to buy a jacket. The price of the jacket before discount in both shops is $450. What is the savings that Erika makes if she buys at the shop that sells the same jacket cheaper?
2. Opal bought a dress and a cardigan from Shop C and paid $128. What was the total cost of the dress and the cardigan before the discount?
3. The price of the same cardigan after discount at Shop D is $106.50. Given that the price of the cardigan before discount is the same in both shops, what is the percentage discount given to the cardigan at Shop C? Round off the answer to 1 decimal place.

(a)
Amount to pay at Shop C for every $40 spent
= 40 - 8
= $32

Number of sets of $40 in $450
= 450 ÷ 40
= 11 r 10

Discounted price of the jacket at Shop C
= 11 x 32 + 10
= $362

Discounted price of the jacket at Shop D
= 75% x 450 
= ⁷⁵₁₀₀ x 450 
= $337.50

Amount of savings
= 362 - 337.50
= $24.50

(b)
Number of sets of $32 in $128
= 128 ÷ 32
= 4

Total cost of the dress and the cardigan
= 4 x 40
= $160

(c)

	Shop C	Shop D
Original Price	$142	$142
Discount	- $24	- 25%
Discounted Price	$118	$106.50

Original price of the cardigan at Shop D before discount
= 106.50 ÷ ⁷⁵₁₀₀
= $142

If the original price of the cardigan at Shop C and Shop D is the same, the original price of the cardigan at Shop C is $142.

Number of sets of $40 in $142
= 142 ÷ 40
= 3 r 22

Discounted price of the cardigan at Shop C
= 3 x 32 + 22
= $118

Discount given for the cardigan at Shop C
= 142 - 118
= $24

Percent discount given to the cardigan at Shop C
= 100% x ²⁴₁₄₂ 
≈ 16.9%

Answer(s): (a) $24.50; (b) $160; (c) 16.9%