Question

At a hot dog stand, they serve regular and footlong hot dogs at a ratio of 5 to 3. Based on this ratio, how many footlong hot dogs will be served if there are a total of 120 dogs served?

Answer 1

most likely it would be somewhere in the 60s

Answer 2

45

Explanation:

we have a ratio of 5 regular hot dogs to 3 footlong hotdogs.

If we sum 5 + 3 we get 8 hotdogs, this means that for every 8 hot dogs 3 of them are footlong.

we can see this as follows:

Total hot dogs footlong hot dogs

8 ⇒ 3

and we need to know how many footlong hot dogs will be served if a total of 120 hot dogs are served:

Total hot dogs footlong hotdogs

8 ⇒ 3

120 ⇒ x

where x represents the number we are looking for, which we found by the rule of three: multiply cross quantities and divide by the remaining amount:

x=3*120/8

x=360/8

x=45

the answer is 45 foolong hot dogs