During a bonanza, the discount given by Boutique V and Boutique W are as shown:
Boutique V - Discount of $6 for every $30 spent
Boutique W - 25% off Storewide

1. Lucy wants to buy a coat. The price of the coat before discount in both shops is $190. What is the savings that Lucy makes if she buys at the shop that sells the same coat cheaper?
2. Penelope bought a shirt and a hoodie from Boutique V and paid $120. What was the total cost of the shirt and the hoodie before the discount?
3. The price of the same hoodie after discount at Boutique W is $148.50. Given that the price of the hoodie before discount is the same in both boutiques, what is the percentage discount given to the hoodie at Boutique V? Round off the answer to 1 decimal place.

(a)
Amount to pay at Boutique V for every $30 spent
= 30 - 6
= $24

Number of sets of $30 in $190
= 190 ÷ 30
= 6 r 10

Discounted price of the coat at Boutique V
= 6 x 24 + 10
= $154

Discounted price of the coat at Boutique W
= 75% x 190 
= ⁷⁵₁₀₀ x 190 
= $142.50

Amount of savings
= 154 - 142.50
= $11.50

(b)
Number of sets of $24 in $120
= 120 ÷ 24
= 5

Total cost of the shirt and the hoodie
= 5 x 30
= $150

(c)

	Boutique V	Boutique W
Original Price	$198	$198
Discount	- $36	- 25%
Discounted Price	$162	$148.50

Original price of the hoodie at Boutique W before discount
= 148.50 ÷ ⁷⁵₁₀₀
= $198

If the original price of the hoodie at Boutique V and Boutique W is the same, the original price of the hoodie at Boutique V is $198.

Number of sets of $30 in $198
= 198 ÷ 30
= 6 r 18

Discounted price of the hoodie at Boutique V
= 6 x 24 + 18
= $162

Discount given for the hoodie at Boutique V
= 198 - 162
= $36

Percent discount given to the hoodie at Boutique V
= 100% x ³⁶₁₉₈ 
≈ 18.2%

Answer(s): (a) $11.50; (b) $150; (c) 18.2%