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)

Respuesta :

Part a) Shop Smart

we know that
24 packs (2 for $9)
total cans  [tex](24*2)=48[/tex]
Find the unit price for the can
by using proportion
[tex] \frac{48}{9} = \frac{1}{x} \\ \\ 48*x=9 \\ \\ x=0.1875[/tex]

the ratio of the number of cans to the price in the Shop Smart is equal to
$ [tex]0.19[/tex] per can

Part b) Super Saver     

we know that
12 packs (4 for $10)
total cans  [tex](12*4)=48[/tex]
Find the unit price for the can
by using proportion
[tex] \frac{48}{10} = \frac{1}{x} \\ \\ 48*x=10 \\ \\ x=0.2083[/tex]

the ratio of the number of cans to the price in the Shop Smart is equal to
$[tex]0.21[/tex] per can

Part c) Price Buster

we know that
12 packs (3 for $9)
total cans  [tex](12*3)=36[/tex]
Find the unit price for the can
by using proportion
[tex] \frac{36}{9} = \frac{1}{x} \\ \\ 36*x=9 \\ \\ x=0.25[/tex]

the ratio of the number of cans to the price in the Shop Smart is equal to
$[tex]0.25[/tex] per can

Answer:

a)9:48

b)10:48

c)9:36

Step-by-step 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 = [tex]24 \times 2 = 48[/tex]

Cost of 48 cans = $9

Cost of 1 can = [tex]\frac{9}{48}[/tex]

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 = [tex]12 \times 4 = 48[/tex]

Cost of 48 cans = $10

Cost of 1 can = [tex]\frac{10}{48}[/tex]

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 = [tex]12 \times 3 = 36[/tex]

Cost of 36 cans = $9

Cost of 1 can = [tex]\frac{9}{36}[/tex]

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