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?

45

Step-by-step 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

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted