A recipe calls tor 4 ounces ot chocolate. If you make 15 batches of the recipe (for a large party), then how many pounds of chocolate will you need?
- Use multiplication or division or both to solve the chocolate problem. Explain why your method of solution makes sense in a way that children could understand. Do not use dimensional analysis.
- Describe a number of different correct ways to write the answer to the chocolate problem. Explain briefly why these different ways of writing the answer mean the same thing.
(a)
To discuss: The solution of the chocolate problem that makes sense to the children.
Explanation of Solution
Given information:
Chocolate problem:
A recipe calls for 4 ounces of chocolate.The number of batches of the recipe is 15, then how many pounds of chocolate is needed?
Calculation:
A recipe takes 4 ounces of chocolate.
By the use of multiplication, 15 batches of recipe take
It is know that 16 ounces make a pound.
Therefore, the number of pounds in 60 ounces is calculated by the use of division as,
Thus, the number of pounds of chocolate used in 15 batches is
(b)
To write: The different expressions for the solution of chocolate problem.
Answer to Problem 1P
The different expressions for the solution of chocolate problem are
Explanation of Solution
Given information:
Chocolate problem:
A recipe calls for 4 ounces of chocolate. The number of batches of the recipe is 15, then how many pounds of chocolate is needed?
Calculation:
From subpart (a), one of the solution for the chocolate problem is
Simplify the expression
Similarly, convert the expression in ounces as follows:
Similarly, convert the expression in both pounds and ounces as follows:
Conclusion:
Thus, the different expressions for the solution of chocolate problem are
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