Question

For each store, what is the ratio of the number of cans to the price.

Shop Smart: 24 packs (2 for $9)
Super Saver: 12 packs (4 for $10)
Price Buster: 12 packs (3 for $9)

Answer 1

a)9:48

b)10:48

c)9:36

Explanation:

Find the ratio of the number of cans to the price.

Shop Smart: 24 packs (2 for $9)

No. of cans in 1 pack = 24

No. of cans in 2 packs =
`24 * 2 = 48`

Cost of 48 cans = $9

Cost of 1 can =
`(9)/(48)`

So, the ratio of the number of cans to the price is 9:48

Super Saver: 12 packs (4 for $10)

No. of cans in 1 pack = 12

No. of cans in 4 packs =
`12 * 4 = 48`

Cost of 48 cans = $10

Cost of 1 can =
`(10)/(48)`

So, the ratio of the number of cans to the price is 10:48

Price Buster: 12 packs (3 for $9)

No. of cans in 1 pack = 12

No. of cans in 3 packs =
`12 * 3 = 36`

Cost of 36 cans = $9

Cost of 1 can =
`(9)/(36)`

So, the ratio of the number of cans to the price is 9:36

Answer 2

Part a) Shop Smart

we know that
24 packs (2 for $9)
total cans
`(24*2)=48`
Find the unit price for the can
by using proportion

`(48)/(9) = (1)/(x) \\ \\ 48*x=9 \\ \\ x=0.1875`

the ratio of the number of cans to the price in the Shop Smart is equal to
$
`0.19` per can

Part b) Super Saver

we know that
12 packs (4 for $10)
total cans
`(12*4)=48`
Find the unit price for the can
by using proportion

`(48)/(10) = (1)/(x) \\ \\ 48*x=10 \\ \\ x=0.2083`

the ratio of the number of cans to the price in the Shop Smart is equal to
$
`0.21` per can

Part c) Price Buster

we know that
12 packs (3 for $9)
total cans
`(12*3)=36`
Find the unit price for the can
by using proportion

`(36)/(9) = (1)/(x) \\ \\ 36*x=9 \\ \\ x=0.25`

the ratio of the number of cans to the price in the Shop Smart is equal to
$
`0.25` per can