High School

Mrs. Salge is very particular about her ice cream. Her ice cream cone recipe is:

- 1 cone
- 1 scoop of blue ice cream
- 2 scoops of red ice cream
- 1 cherry on top

How many ice cream cones could Mrs. Salge make if she had:

- 10 cones
- 12 scoops of blue ice cream
- 12 scoops of red ice cream
- 10 cherries?

Answer :

Answer: Mrs. Salge can make 6 ice cream cones

Explanation:

Mrs. Salge's recipe:

1 cone

1 scoop blue ice cream

2 scoops red ice cream

1 cherry

Now we will find what the limiting ingredient is:

We know she has:

10 cones. → 10 ice cream cones

12 scoops blue ice cream. → 12 ice cream cones

12 scoops red ice cream. → 6 ice cream cones

10 cherries. → 10 ice cream cones

The red ice cream is the limiting factor. Mrs. Salge can make 6 ice cream cones.

Mrs. Salge can make a total of 6 ice cream cones with her available ingredients, as the red ice cream scoops are the limiting factor.

To determine how many ice cream cones Mrs. Salge can make given her resources, we must find out which ingredient limits the number of cones she can make. Her recipe requires one cone, one scoop of blue ice cream, two scoops of red ice cream, and one cherry for each ice cream cone. Therefore, we will check each ingredient to see which will run out first if she keeps making the ice cream cones as per the recipe.

  • Cone: 10 available
  • Blue ice cream: 12 scoops available
  • Red ice cream: 12 scoops available
  • Cherry: 10 available

Since each cone requires 2 scoops of red ice cream, the number of cones she can make will be limited by the red ice cream. With 12 scoops of red ice cream, she can make 6 cones because each cone requires 2 scoops. This is the limiting factor because even though she has 10 cones and 10 cherries, after making 6 cones, she will run out of red ice cream.

Therefore, Mrs. Salge can make a total of 6 ice cream cones with the ingredients available to her before one of the ingredients runs out and prevents her from making more.