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.
How many orders can STacey make:
1chocolate single, 1choc double, 1choc triple, or three (1)(3)=3
the other four friends can make any flavor, and any two flavrs in doubles, and any three in triples.
(3)(1)+3(3) + 3(3)3 types for each.
So all four can make this many orders..
orders=3 + 3((3)(1)+3(3) + 3(3)3 )
check my thinking.
To determine the number of different kinds of cones Ed and his friends can make, we need to consider the available flavors and the number of scoops they can have.
Since there are three flavors available (chocolate, vanilla, and strawberry), each friend has a choice of three flavors for their scoops on the cone.
Now, let's consider the number of scoops on each cone. We know that they may have only singles, doubles, and triples. This means the number of scoops on a cone can be 1, 2, or 3.
To find the total number of different kinds of cones, we need to multiply the number of flavor choices by the number of scoop options.
Flavor choices: 3 (chocolate, vanilla, strawberry)
Scoop options: 3 (singles, doubles, triples)
Total number of different kinds of cones: 3 (flavor choices) x 3 (scoop options) = 9
So, Ed and his friends can make a total of 9 different kinds of cones.
Number sentences that support this conclusion could be:
- The number of flavor choices (3) multiplied by the number of scoop options (3) equals the total number of different kinds of cones (9).
- 3 flavors x 3 scoops = 9 different kinds of cones.