Question

A recipe calls for 9 cups of flour to make 2 loaves of bread. A baker would like to know how many cups of flour are needed for 7 loaves of bread. Which proportion can be used to solve this problem?

a) 9/2 = 7/x
b) 2/9 = 7/x
c) x/7 = 9/2
d) 7/9 = 2/x

Answer 1

The correct proportion to find the cups of flour needed for 7 loaves of bread when 9 cups are needed for 2 loaves is option a) 9/2 = 7/x. After setting up the proportion, cross-multiply and solve for x, which results in 31.5 cups of flour for 7 loaves of bread.

Step-by-step explanation:

The student is asking about setting up the correct proportion to find out how much flour is needed to make 7 loaves of bread if a recipe calls for 9 cups of flour for 2 loaves. The proportion that can be used to solve this problem is option a) 9/2 = 7/x. Here's how to solve it:

• Set up the proportion where 9 cups of flour are equivalent to 2 loaves (9/2), and you want to find out the cups of flour for 7 loaves (7/x).
• Cross-multiply to find the value of x. So 9 times x equals 2 times 7.
• Solve for x: 9x = 14, then divide both sides by 9 to get x = 14/9.
• Cups needed = 14/9 times 7 to find the total number of cups of flour. x = 7 loaves of bread * (9 cups of flour / 2 loaves of bread), which simplifies to x = 31.5 cups.