amorphous wrote:
At a certain store, one can buy 6 cans of juice for $8. How many cans of this same juice could one buy with $48?
A 14
B 36
C 48
D 64
E 96
APPROACH #1: Number sense
In the given information, $8 was spent, and now we want to spend $48
$48 is
6 times the original amount of money spent, which means $48 will buy us
6 times the number of cans originally purchased.
Another words $48 will buy us (6)(6) cans (36 cans)
Answer: B
APPROACH #2: Equivalent ratios
If we can reword the given information in the form
for every x, we have y, then we have a ratio question.
In this case we can say,
for every $8, we get 6 cans of juice.
This means we can solve the question using equivalent ratios in the form
number of dollars/
number of cans.
Let
x = the number of cans that can be purchased for $
48.
We get:
8/
6 =
48/
xCross multiply:
8x = 6(48)Divide both sides of the equation by 8 to get:
x = 6(6) = 36Answer: B