During a sale, the discount given by Boutique H and Boutique J are as shown:
Boutique H - Discount of $5 for every $25 spent
Boutique J - 25% off Storewide

1. Cathy wants to buy a vest. The price of the vest before discount in both shops is $470. What is the savings that Cathy makes if she buys at the shop that sells the same vest cheaper?
2. Xuan bought a coat and a sweater from Boutique H and paid $140. What was the total cost of the coat and the sweater before the discount?
3. The price of the same sweater after discount at Boutique J is $139.50. Given that the price of the sweater before discount is the same in both boutiques, what is the percentage discount given to the sweater at Boutique H? Round off the answer to 1 decimal place.

(a)
Amount to pay at Boutique H for every $25 spent
= 25 - 5
= $20

Number of sets of $25 in $470
= 470 ÷ 25
= 18 r 20

Discounted price of the vest at Boutique H
= 18 x 20 + 20
= $380

Discounted price of the vest at Boutique J
= 75% x 470 
= ⁷⁵₁₀₀ x 470 
= $352.50

Amount of savings
= 380 - 352.50
= $27.50

(b)
Number of sets of $20 in $140
= 140 ÷ 20
= 7

Total cost of the coat and the sweater
= 7 x 25
= $175

(c)

	Boutique H	Boutique J
Original Price	$186	$186
Discount	- $35	- 25%
Discounted Price	$151	$139.50

Original price of the sweater at Boutique J before discount
= 139.50 ÷ ⁷⁵₁₀₀
= $186

If the original price of the sweater at Boutique H and Boutique J is the same, the original price of the sweater at Boutique H is $186.

Number of sets of $25 in $186
= 186 ÷ 25
= 7 r 11

Discounted price of the sweater at Boutique H
= 7 x 20 + 11
= $151

Discount given for the sweater at Boutique H
= 186 - 151
= $35

Percent discount given to the sweater at Boutique H
= 100% x ³⁵₁₈₆ 
≈ 18.8%

Answer(s): (a) $27.50; (b) $175; (c) 18.8%