Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:
3 * 15 = 45 footlong hotdogs
This is how u solve this type of ratio problem.
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:
the answer is 45 foolong hot dogs