Question

With a budget of $3500, she allots 4/7 to one category and 2/7 to another. How much is allotted to each category?

A) $2000 and $1000

B) $2000 and $1500

C) $2500 and $1000

D) $2800 and $700

Answer 1

Upon multiplying the student's budget of $3500 by the fractions that represent the allotment for each category, we find that $2000 is allocated to the first category and $1000 to the second.

Step-by-step explanation:

To determine the amount allotted to each category from a budget of $3500 with ratios of 4/7 for one category and 2/7 for another, we perform the following calculations:

• For the first category: $3500 × (4/7) = $2000
• For the second category: $3500 × (2/7) = $1000

The final answer is: $2000 is allotted to the first category and $1000 is allotted to the second category.

The breakdown is straightforward, once the total budget is multiplied by each fraction representing the allotment, we get the amount for each category. There's no need for a complicated formula; similar to everyday budgeting, we apply simple mathematical operations to distribute the funds proportionally according to the given ratios.