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

1. Yen wants to buy a jumpsuit. The price of the jumpsuit before discount in both shops is $110. What is the savings that Yen makes if she buys at the shop that sells the same jumpsuit cheaper?
2. Anna bought a sweater and a jacket from Shop A and paid $144. What was the total cost of the sweater and the jacket before the discount?
3. The price of the same jacket after discount at Shop B is $103.50. Given that the price of the jacket before discount is the same in both shops, what is the percentage discount given to the jacket at Shop A? Round off the answer to 1 decimal place.

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

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

Discounted price of the jumpsuit at Shop A
= 2 x 36 + 20
= $92

Discounted price of the jumpsuit at Shop B
= 75% x 110 
= ⁷⁵₁₀₀ x 110 
= $82.50

Amount of savings
= 92 - 82.50
= $9.50

(b)
Number of sets of $36 in $144
= 144 ÷ 36
= 4

Total cost of the sweater and the jacket
= 4 x 45
= $180

(c)

	Shop A	Shop B
Original Price	$138	$138
Discount	- $27	- 25%
Discounted Price	$111	$103.50

Original price of the jacket at Shop B before discount
= 103.50 ÷ ⁷⁵₁₀₀
= $138

If the original price of the jacket at Shop A and Shop B is the same, the original price of the jacket at Shop A is $138.

Number of sets of $45 in $138
= 138 ÷ 45
= 3 r 3

Discounted price of the jacket at Shop A
= 3 x 36 + 3
= $111

Discount given for the jacket at Shop A
= 138 - 111
= $27

Percent discount given to the jacket at Shop A
= 100% x ²⁷₁₃₈ 
≈ 19.6%

Answer(s): (a) $9.50; (b) $180; (c) 19.6%