During a sale, the discount given by Boutique Q and Boutique R are as shown:
Boutique Q - Discount of $10 for every $50 spent
Boutique R - 25% off Storewide

1. Joelle wants to buy a skirt. The price of the skirt before discount in both shops is $410. What is the savings that Joelle makes if she buys at the shop that sells the same skirt cheaper?
2. Tammy bought a shirt and a sweater from Boutique Q and paid $160. What was the total cost of the shirt and the sweater before the discount?
3. The price of the same sweater after discount at Boutique R is $37.50. 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 Q? Round off the answer to 1 decimal place.

(a)
Amount to pay at Boutique Q for every $50 spent
= 50 - 10
= $40

Number of sets of $50 in $410
= 410 ÷ 50
= 8 r 10

Discounted price of the skirt at Boutique Q
= 8 x 40 + 10
= $330

Discounted price of the skirt at Boutique R
= 75% x 410 
= ⁷⁵₁₀₀ x 410 
= $307.50

Amount of savings
= 330 - 307.50
= $22.50

(b)
Number of sets of $40 in $160
= 160 ÷ 40
= 4

Total cost of the shirt and the sweater
= 4 x 50
= $200

(c)

	Boutique Q	Boutique R
Original Price	$50	$50
Discount	- $10	- 25%
Discounted Price	$40	$37.50

Original price of the sweater at Boutique R before discount
= 37.50 ÷ ⁷⁵₁₀₀
= $50

If the original price of the sweater at Boutique Q and Boutique R is the same, the original price of the sweater at Boutique Q is $50.

Number of sets of $50 in $50
= 50 ÷ 50
= 1 r 0

Discounted price of the sweater at Boutique Q
= 1 x 40 + 0
= $40

Discount given for the sweater at Boutique Q
= 50 - 40
= $10

Percent discount given to the sweater at Boutique Q
= 100% x ¹⁰₅₀ 
≈ 20.0%

Answer(s): (a) $22.50; (b) $200; (c) 20.0%