During a promotion, the discount given by Shop Q and Shop R are as shown:
Shop Q - Discount of $5 for every $25 spent
Shop R - 25% off Storewide

1. Tammy wants to buy a sweater. The price of the sweater before discount in both shops is $170. What is the savings that Tammy makes if she buys at the shop that sells the same sweater cheaper?
2. Sarah bought a vest and a blouse from Shop Q and paid $140. What was the total cost of the vest and the blouse before the discount?
3. The price of the same blouse after discount at Shop R is $124.50. Given that the price of the blouse before discount is the same in both shops, what is the percentage discount given to the blouse at Shop Q? Round off the answer to 1 decimal place.

(a)
Amount to pay at Shop Q for every $25 spent
= 25 - 5
= $20

Number of sets of $25 in $170
= 170 ÷ 25
= 6 r 20

Discounted price of the sweater at Shop Q
= 6 x 20 + 20
= $140

Discounted price of the sweater at Shop R
= 75% x 170 
= ⁷⁵₁₀₀ x 170 
= $127.50

Amount of savings
= 140 - 127.50
= $12.50

(b)
Number of sets of $20 in $140
= 140 ÷ 20
= 7

Total cost of the vest and the blouse
= 7 x 25
= $175

(c)

	Shop Q	Shop R
Original Price	$166	$166
Discount	- $30	- 25%
Discounted Price	$136	$124.50

Original price of the blouse at Shop R before discount
= 124.50 ÷ ⁷⁵₁₀₀
= $166

If the original price of the blouse at Shop Q and Shop R is the same, the original price of the blouse at Shop Q is $166.

Number of sets of $25 in $166
= 166 ÷ 25
= 6 r 16

Discounted price of the blouse at Shop Q
= 6 x 20 + 16
= $136

Discount given for the blouse at Shop Q
= 166 - 136
= $30

Percent discount given to the blouse at Shop Q
= 100% x ³⁰₁₆₆ 
≈ 18.1%

Answer(s): (a) $12.50; (b) $175; (c) 18.1%