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

1. Sarah wants to buy a shirt. The price of the shirt before discount in both shops is $110. What is the savings that Sarah makes if she buys at the shop that sells the same shirt cheaper?
2. Jane bought a jacket and a blouse from Boutique S and paid $108. What was the total cost of the jacket and the blouse before the discount?
3. The price of the same blouse after discount at Boutique T is $145.50. 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 S? Round off the answer to 1 decimal place.

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

Number of sets of $45 in $110
= 110 ÷ 45
= 2 r 20

Discounted price of the shirt at Boutique S
= 2 x 36 + 20
= $92

Discounted price of the shirt at Boutique T
= 75% x 110 
= ⁷⁵₁₀₀ x 110 
= $82.50

Amount of savings
= 92 - 82.50
= $9.50

(b)
Number of sets of $36 in $108
= 108 ÷ 36
= 3

Total cost of the jacket and the blouse
= 3 x 45
= $135

(c)

	Boutique S	Boutique T
Original Price	$194	$194
Discount	- $36	- 25%
Discounted Price	$158	$145.50

Original price of the blouse at Boutique T before discount
= 145.50 ÷ ⁷⁵₁₀₀
= $194

If the original price of the blouse at Boutique S and Boutique T is the same, the original price of the blouse at Boutique S is $194.

Number of sets of $45 in $194
= 194 ÷ 45
= 4 r 14

Discounted price of the blouse at Boutique S
= 4 x 36 + 14
= $158

Discount given for the blouse at Boutique S
= 194 - 158
= $36

Percent discount given to the blouse at Boutique S
= 100% x ³⁶₁₉₄ 
≈ 18.6%

Answer(s): (a) $9.50; (b) $135; (c) 18.6%