Suppose you have a friend named Ed. He and his four friends are having ice cream. There are only three flavors available at the ice cream store they are visiting: chocolate, vanilla, and strawberry. One of Ed’s friends, Stacey, eats chocolate exclusively. How many different kinds of cones can they make? They may have only singles, doubles, and triples. Create one or more number sentences that would support your conclusions.
Hmmmmm. There is no need to keep posting this.
you have a friend named Max. He and his four friends are having ice cream. There are only three flavors available at the ice cream store they are visiting: chocolate, vanilla and strawberry. One of Max’s friends, Stacey, eats chocolate exclusively. How many different kinds of ice cream cone combinations can they make?
To determine the number of different kinds of cones that Ed and his friends can make, we need to consider the possible combinations of flavors and the number of scoops per cone.
Since Ed's friend Stacey exclusively eats chocolate, there are two possibilities for the other three friends: they can either choose the same flavor as Stacey (chocolate) or they can choose from the two remaining flavors (vanilla and strawberry).
Let's break down the possibilities for each number of scoops:
1 scoop (single):
- If the first friend chooses chocolate, then there would be one option (chocolate).
- If the first friend chooses vanilla or strawberry, then there would be two options (vanilla or strawberry).
2 scoops (double):
- If the first friend chooses chocolate, then the second friend can choose either chocolate (1 option) or from the remaining two flavors (2 options), resulting in a total of 3 options.
- If the first friend chooses vanilla or strawberry, the second friend can choose from the two remaining flavors (2 options) for a total of 2 options.
3 scoops (triple):
- If the first friend chooses chocolate, then the second friend can choose either chocolate (1 option) or from the remaining two flavors (2 options). The third friend would have the same choices as the second friend (2 options), resulting in a total of 4 options.
- If the first friend chooses vanilla or strawberry, the second friend can choose from the two remaining flavors (2 options). The third friend would then have one flavor option (as Stacey eats exclusively chocolate), resulting in a total of 2 options.
To calculate the total number of different cones, we can sum up the number of options for each number of scoops:
1 scoop: 1 option (if the first friend chooses Stacey's flavor) + 2 options (if they choose a different flavor) = 3 options
2 scoops: 3 options (if the first friend chooses Stacey's flavor) + 2 options (if they choose a different flavor) = 5 options
3 scoops: 4 options (if the first friend chooses Stacey's flavor) + 2 options (if they choose a different flavor) = 6 options
Therefore, there are a total of 3 + 5 + 6 = 14 different kinds of cones that Ed and his friends can make.
Number sentences to support the calculations:
- For 1 scoop cones: 1 (if the first friend chooses Stacey's flavor) + 2 (if they choose a different flavor) = 3 options.
- For 2 scoop cones: 3 (if the first friend chooses Stacey's flavor) + 2 (if they choose a different flavor) = 5 options.
- For 3 scoop cones: 4 (if the first friend chooses Stacey's flavor) + 2 (if they choose a different flavor) = 6 options.