Answer :
Answer:
c = 6/7
Step-by-step explanation:
We can set up a ratio of servings per cups of milk,
[tex]\frac{6}{1\frac{3}{4} } =\frac{4}{c}[/tex], where c is the cups of milk we're trying to find.
Since 1 is the same as 4/4, we can simplify 1 3/4 as 7/4 (4/4 + 3/4).
[tex]\frac{6}{\frac{7}{4} } =\frac{4}{c}[/tex]
Now we can cross multiply!
[tex]6c=4(\frac{7}{4})[/tex]
If we multiply an integer with a fraction the integer multiplies with the numerator, and since the integer on the top is the same as the integer on the denominator we can cancel them out. This leaves us with,
6c = 7
c = 6/7 (divide by 6)
Let me know if you have any questions!
Answer:
[tex] 1 \dfrac{1}{6} [/tex]
Step-by-step explanation:
Let's recompute the amount of milk needed for 4 servings of Miranda's waffle recipe based on the original proportions.
Miranda's waffle recipe makes 6 servings with [tex]1 \dfrac{3}{4}[/tex] cups of milk.
First, convert [tex]1 \dfrac{3}{4}[/tex] to an improper fraction:
[tex]1 \dfrac{3}{4} = \dfrac{ 1\cdot 4 + 3}{4} = \dfrac{7}{4}[/tex]
Now, determine the amount of milk per serving in the original recipe:
[tex]\textsf{Milk per serving} = \dfrac{1 \dfrac{3}{4} \textsf{ cups}}{6 \textsf{ servings}} \\\\= \dfrac{\dfrac{7}{4} \textsf{ cups}}{6} \\\\= \dfrac{7}{4} \div 6 \\\\ = \dfrac{7}{4} \times \dfrac{1}{6} \\\\= \dfrac{7}{24} \textsf{ cups per serving}[/tex]
Calculate the total amount of milk needed for 4 servings:
[tex]\textsf{Milk for 4 servings} = 4 \textsf{ servings} \times \dfrac{7}{24} \textsf{ cups per serving} \\\\= 4 \times \dfrac{7}{24} \\\\= \dfrac{28}{24} \textsf{ cups}[/tex]
Simplify [tex]\dfrac{28}{24}[/tex] to get the final amount of milk needed:
[tex]\dfrac{28}{24} = \dfrac{7}{6} \textsf{ cups} = 1 \dfrac{1}{6} \textsf{cups} [/tex]
So, Miranda will need [tex]\boxed{1 \dfrac{1}{6}}[/tex] cups of milk for 4 servings of her waffle recipe.
