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

1. Fanny wants to buy a jacket. The price of the jacket before discount in both shops is $190. What is the savings that Fanny makes if she buys at the shop that sells the same jacket cheaper?
2. Abi bought a shirt and a sweater from Shop X and paid $140. What was the total cost of the shirt and the sweater before the discount?
3. The price of the same sweater after discount at Shop Y is $73.50. Given that the price of the sweater before discount is the same in both shops, what is the percentage discount given to the sweater at Shop X? Round off the answer to 1 decimal place.

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

Number of sets of $25 in $190
= 190 ÷ 25
= 7 r 15

Discounted price of the jacket at Shop X
= 7 x 20 + 15
= $155

Discounted price of the jacket at Shop Y
= 75% x 190 
= ⁷⁵₁₀₀ x 190 
= $142.50

Amount of savings
= 155 - 142.50
= $12.50

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

Total cost of the shirt and the sweater
= 7 x 25
= $175

(c)

	Shop X	Shop Y
Original Price	$98	$98
Discount	- $15	- 25%
Discounted Price	$83	$73.50

Original price of the sweater at Shop Y before discount
= 73.50 ÷ ⁷⁵₁₀₀
= $98

If the original price of the sweater at Shop X and Shop Y is the same, the original price of the sweater at Shop X is $98.

Number of sets of $25 in $98
= 98 ÷ 25
= 3 r 23

Discounted price of the sweater at Shop X
= 3 x 20 + 23
= $83

Discount given for the sweater at Shop X
= 98 - 83
= $15

Percent discount given to the sweater at Shop X
= 100% x ¹⁵₉₈ 
≈ 15.3%

Answer(s): (a) $12.50; (b) $175; (c) 15.3%