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need math help #4?
A recipe that serves 6 people calls for 1 and 1/2 cups of rice. How much rice will you need to serve 8 people (assuming that the ratio of people to cups of rice stays the same)?
a.) Solve this problem by setting up an equation in which you set two fractions equal to each other. Answer question by proportion and state unit rate.b.) Interpret the two fractions that you set equal to each other in part (a) in terms of the recipe. Explain why it makes sense to set these two fractions equal to each other.c.) Why does it make sense to cross-multiply the two fractions in part (a)? What is the logic behind the procedure of cross-multiplying?d.) Now solve the same problem in a different way by reasoning about quantities. Explain your reasoning clearly.
1 Answer
- KrishnamurthyLv 73 weeks ago
A recipe that serves 6 people calls for 1 and 1/2 cups of rice.
You will need 2 cups of rice to serve 8 people
(assuming that the ratio of people to cups of rice stays the same).
a).
Solve this problem by setting up an equation
in which you set two fractions equal to each other.
Answer question by proportion and state unit rate.
b).
Interpret the two fractions that you set equal to each other in part (a)
in terms of the recipe.
Explain why it makes sense to set these two fractions equal to each other.
c).
Why does it make sense to cross-multiply the two fractions in part (a)?
What is the logic behind the procedure of cross-multiplying?
d).
Now solve the same problem in a different way
by reasoning about quantities. Explain your reasoning clearly.
