During a sale, the discount given by Shop Y and Shop Z are as shown:
Shop Y - Discount of $6 for every $30 spent
Shop Z - 25% off Storewide

1. Natalie wants to buy a jacket. The price of the jacket before discount in both shops is $170. What is the savings that Natalie makes if she buys at the shop that sells the same jacket cheaper?
2. Betty bought a dress and a hoodie from Shop Y and paid $48. What was the total cost of the dress and the hoodie before the discount?
3. The price of the same hoodie after discount at Shop Z is $55.50. Given that the price of the hoodie before discount is the same in both shops, what is the percentage discount given to the hoodie at Shop Y? Round off the answer to 1 decimal place.

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

Number of sets of $30 in $170
= 170 ÷ 30
= 5 r 20

Discounted price of the jacket at Shop Y
= 5 x 24 + 20
= $140

Discounted price of the jacket at Shop Z
= 75% x 170 
= ⁷⁵₁₀₀ x 170 
= $127.50

Amount of savings
= 140 - 127.50
= $12.50

(b)
Number of sets of $24 in $48
= 48 ÷ 24
= 2

Total cost of the dress and the hoodie
= 2 x 30
= $60

(c)

	Shop Y	Shop Z
Original Price	$74	$74
Discount	- $12	- 25%
Discounted Price	$62	$55.50

Original price of the hoodie at Shop Z before discount
= 55.50 ÷ ⁷⁵₁₀₀
= $74

If the original price of the hoodie at Shop Y and Shop Z is the same, the original price of the hoodie at Shop Y is $74.

Number of sets of $30 in $74
= 74 ÷ 30
= 2 r 14

Discounted price of the hoodie at Shop Y
= 2 x 24 + 14
= $62

Discount given for the hoodie at Shop Y
= 74 - 62
= $12

Percent discount given to the hoodie at Shop Y
= 100% x ¹²₇₄ 
≈ 16.2%

Answer(s): (a) $12.50; (b) $60; (c) 16.2%