During a promotion, the discount given by Boutique P and Boutique Q are as shown:
Boutique P - Discount of $9 for every $45 spent
Boutique Q - 25% off Storewide

1. Elyse wants to buy a sweater. The price of the sweater before discount in both shops is $150. What is the savings that Elyse makes if she buys at the shop that sells the same sweater cheaper?
2. Tiffany bought a coat and a blouse from Boutique P and paid $72. What was the total cost of the coat and the blouse before the discount?
3. The price of the same blouse after discount at Boutique Q is $46.50. Given that the price of the blouse before discount is the same in both boutiques, what is the percentage discount given to the blouse at Boutique P? Round off the answer to 1 decimal place.

(a)
Amount to pay at Boutique P for every $45 spent
= 45 - 9
= $36

Number of sets of $45 in $150
= 150 ÷ 45
= 3 r 15

Discounted price of the sweater at Boutique P
= 3 x 36 + 15
= $123

Discounted price of the sweater at Boutique Q
= 75% x 150 
= ⁷⁵₁₀₀ x 150 
= $112.50

Amount of savings
= 123 - 112.50
= $10.50

(b)
Number of sets of $36 in $72
= 72 ÷ 36
= 2

Total cost of the coat and the blouse
= 2 x 45
= $90

(c)

	Boutique P	Boutique Q
Original Price	$62	$62
Discount	- $9	- 25%
Discounted Price	$53	$46.50

Original price of the blouse at Boutique Q before discount
= 46.50 ÷ ⁷⁵₁₀₀
= $62

If the original price of the blouse at Boutique P and Boutique Q is the same, the original price of the blouse at Boutique P is $62.

Number of sets of $45 in $62
= 62 ÷ 45
= 1 r 17

Discounted price of the blouse at Boutique P
= 1 x 36 + 17
= $53

Discount given for the blouse at Boutique P
= 62 - 53
= $9

Percent discount given to the blouse at Boutique P
= 100% x ⁹₆₂ 
≈ 14.5%

Answer(s): (a) $10.50; (b) $90; (c) 14.5%