Create a problem that is solved by interpreting a quotient.
Example Problem:
Maria has 24 apples and wants to divide them equally among her 6 friends. How many apples will each friend receive?
Answer (3)
dividend ÷ divisor = quotient
Example: in 18 ÷ 3 = 6 , 6 is the quotient
Understanding Quotients in Problem Solving
Consider a scenario where a recipe is designed to serve 4 people, but you need to adjust it to serve 6 people instead. This can be framed as a problem of interpreting a quotient. Suppose the recipe calls for 1/2 cup of sugar for 4 servings. To find out how much sugar you would need for 6 servings, you can set up a ratio like this:
Let x be the amount of sugar needed for 6 servings.
Since 4 servings require 1/2 cup of sugar, we have the proportion 4/6 = (1/2)/x.
By cross-multiplying we get 4x = 3 (since 1/2*6 is 3).
Divide both sides by 4 to solve for x, which gives x = 3/4 cup of sugar.
This demonstrates that by interpreting the quotient appropriately, we can solve the problem and adjust the recipe accordingly.
Sarah is organizing a bake sale where she bakes 36 brownies and divides them into 4 boxes. By interpreting the quotient, each box will contain 9 brownies. This example illustrates the concept of dividing a total into equal parts using a quotient.
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