During a promotion, the discount given by Boutique R and Boutique S are as shown:
Boutique R - Discount of $7 for every $35 spent
Boutique S - 25% off Storewide

1. Natalie wants to buy a skirt. The price of the skirt before discount in both shops is $390. What is the savings that Natalie makes if she buys at the shop that sells the same skirt cheaper?
2. Elyse bought a coat and a shirt from Boutique R and paid $196. What was the total cost of the coat and the shirt before the discount?
3. The price of the same shirt after discount at Boutique S is $64.50. Given that the price of the shirt before discount is the same in both boutiques, what is the percentage discount given to the shirt at Boutique R? Round off the answer to 1 decimal place.

(a)
Amount to pay at Boutique R for every $35 spent
= 35 - 7
= $28

Number of sets of $35 in $390
= 390 ÷ 35
= 11 r 5

Discounted price of the skirt at Boutique R
= 11 x 28 + 5
= $313

Discounted price of the skirt at Boutique S
= 75% x 390 
= ⁷⁵₁₀₀ x 390 
= $292.50

Amount of savings
= 313 - 292.50
= $20.50

(b)
Number of sets of $28 in $196
= 196 ÷ 28
= 7

Total cost of the coat and the shirt
= 7 x 35
= $245

(c)

	Boutique R	Boutique S
Original Price	$86	$86
Discount	- $14	- 25%
Discounted Price	$72	$64.50

Original price of the shirt at Boutique S before discount
= 64.50 ÷ ⁷⁵₁₀₀
= $86

If the original price of the shirt at Boutique R and Boutique S is the same, the original price of the shirt at Boutique R is $86.

Number of sets of $35 in $86
= 86 ÷ 35
= 2 r 16

Discounted price of the shirt at Boutique R
= 2 x 28 + 16
= $72

Discount given for the shirt at Boutique R
= 86 - 72
= $14

Percent discount given to the shirt at Boutique R
= 100% x ¹⁴₈₆ 
≈ 16.3%

Answer(s): (a) $20.50; (b) $245; (c) 16.3%