- talaangoshtari
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The KEY CONCEPT here is that the number of each type of can must be an INTEGER.talaangoshtari wrote:A pantry holds x cans of beans, twice as many cans of soup, and half as many cans of tomato paste as there are cans of beans. If there are no other cans in pantry, which of the following could be the total number of cans in the pantry?
A.6
B.7
C.36
D.45
E.15
The relatively small answer choices suggest that we can just test possible values of x.
Try x = 1
In other words, there is 1 can of beans
There are half as many cans of tomato paste as there are cans of beans.
This means that there are 1/2 cans of tomato paste.
NO GOOD
Try x = 2
In other words, there are 2 cans of beans
There are half as many cans of tomato paste as there are cans of beans.
This means that there is 1 can of tomato paste.
There are twice as many cans of soup as there are cans of beans.
So, there are 4 cans of soup
Total cans = 2 + 1 + 4 = 7
Answer: B
Cheers,
Brent














