Charlotte makes crepes using (5)/(8) cup of milk for every (1)/(2) cup of flour. She wants to know the amount of milk she uses per cup of flour. How much milk does Charlotte use per cup of flour? cup(s) of milk per cup of flour milk (c)
The Correct Answer and Explanation is:
Charlotte uses 58\frac{5}{8} cup of milk for every 12\frac{1}{2} cup of flour. To determine how much milk she uses per cup of flour, we need to set up a proportion and perform a simple calculation.
Step 1: Understand the relationship between milk and flour
Currently, Charlotte uses 58\frac{5}{8} cup of milk for every 12\frac{1}{2} cup of flour. This means that for every 12\frac{1}{2} cup of flour, she needs 58\frac{5}{8} cup of milk.
Step 2: Set up the ratio to find how much milk she uses for 1 cup of flour
We want to find out how much milk she uses for 1 cup of flour. Since she uses 58\frac{5}{8} cup of milk for 12\frac{1}{2} cup of flour, we need to determine how much milk she would use if the amount of flour were increased to 1 cup.
To do this, we can set up a proportion: 5812=x1\frac{\frac{5}{8}}{\frac{1}{2}} = \frac{x}{1}
where xx represents the amount of milk used for 1 cup of flour. This proportion tells us that the ratio of milk to flour is the same whether we are using 12\frac{1}{2} cup of flour or 1 cup of flour.
Step 3: Solve for xx
Now, simplify the left side of the equation. Dividing by a fraction is the same as multiplying by its reciprocal: 5812=58×21=5×28×1=108=54\frac{\frac{5}{8}}{\frac{1}{2}} = \frac{5}{8} \times \frac{2}{1} = \frac{5 \times 2}{8 \times 1} = \frac{10}{8} = \frac{5}{4}
This tells us that for 1 cup of flour, Charlotte needs 54\frac{5}{4} cups of milk.
Step 4: Conclusion
Thus, Charlotte uses 54\frac{5}{4} cups of milk for every 1 cup of flour. This is the equivalent of 1.25 cups of milk per cup of flour.
Final Answer:
Charlotte uses 1.25 cups (or 54\frac{5}{4} cups) of milk for every 1 cup of flour.