During a promotion, the discount given by Boutique W and Boutique X are as shown:
Boutique W - Discount of $8 for every $40 spent
Boutique X - 25% off Storewide

1. Xandra wants to buy a skirt. The price of the skirt before discount in both shops is $470. What is the savings that Xandra makes if she buys at the shop that sells the same skirt cheaper?
2. Gabby bought a windbreaker and a hoodie from Boutique W and paid $256. What was the total cost of the windbreaker and the hoodie before the discount?
3. The price of the same hoodie after discount at Boutique X is $94.50. Given that the price of the hoodie before discount is the same in both boutiques, what is the percentage discount given to the hoodie at Boutique W? Round off the answer to 1 decimal place.

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

Number of sets of $40 in $470
= 470 ÷ 40
= 11 r 30

Discounted price of the skirt at Boutique W
= 11 x 32 + 30
= $382

Discounted price of the skirt at Boutique X
= 75% x 470 
= ⁷⁵₁₀₀ x 470 
= $352.50

Amount of savings
= 382 - 352.50
= $29.50

(b)
Number of sets of $32 in $256
= 256 ÷ 32
= 8

Total cost of the windbreaker and the hoodie
= 8 x 40
= $320

(c)

	Boutique W	Boutique X
Original Price	$126	$126
Discount	- $24	- 25%
Discounted Price	$102	$94.50

Original price of the hoodie at Boutique X before discount
= 94.50 ÷ ⁷⁵₁₀₀
= $126

If the original price of the hoodie at Boutique W and Boutique X is the same, the original price of the hoodie at Boutique W is $126.

Number of sets of $40 in $126
= 126 ÷ 40
= 3 r 6

Discounted price of the hoodie at Boutique W
= 3 x 32 + 6
= $102

Discount given for the hoodie at Boutique W
= 126 - 102
= $24

Percent discount given to the hoodie at Boutique W
= 100% x ²⁴₁₂₆ 
≈ 19%

Answer(s): (a) $29.50; (b) $320; (c) 19%