A recipe calls for dividing 4 cups of flour into two portions in the ratio of 3 to 5. How many cups of flour should be in the larger portion?

Rationale

2 2/5 cups of flour should be in the larger portion.

To solve the problem, we first add the parts of the ratio (3 + 5 = 8) and then divide the total flour (4 cups) by the total parts to find the value of one part (4 cups ÷ 8 = 0.5 cups). The larger portion corresponds to 5 parts, so we multiply the value of one part by 5 (0.5 cups × 5 = 2.5 cups), which is equal to 2 2/5 cups when converted to a mixed number.

A ({3/5]) YOUR ANSWER

This choice represents a small fraction of the total flour and corresponds to just one part of the ratio. It does not account for the larger portion, which consists of five parts of the total ratio.

B (2) YOUR ANSWER

This choice is less than the correct answer and reflects only two parts of the total flour distribution. When divided in the ratio of 3 to 5, the larger portion must be more significant than 2 cups.

C (2 2/5) CORRECT

This is the correct choice, as it accurately reflects the larger portion of the flour when the total is divided in the ratio of 3 to 5. It corresponds to 5 parts of the ratio, calculated from the total amount of flour.

D (3) YOUR ANSWER

This choice exceeds the correct amount for the larger portion, as the larger portion in the ratio can only equate to a maximum of 4 cups when combined with the smaller portion. The distribution does not allow for 3 cups in the larger portion since it would leave insufficient flour for the smaller portion.

Conclusion

When dividing 4 cups of flour in a 3 to 5 ratio, the larger portion must equate to 2 2/5 cups. This calculation reflects the accurate distribution of the total flour based on the specified ratio, distinguishing it from all other options, which either misrepresent the division or provide inadequate quantities.

A recipe calls for dividing 4 cups of flour into two portions in the ratio of 3 to 5. How many cups of flour should be in the larger portion?

2 2/5 cups of flour should be in the larger portion.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test