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A fruit seller has apples and oranges in the ratio 5:3. If he has 40 apples, how
Practice Questions
Q1
A fruit seller has apples and oranges in the ratio 5:3. If he has 40 apples, how many oranges does he have?
24
30
32
20
Questions & Step-by-Step Solutions
A fruit seller has apples and oranges in the ratio 5:3. If he has 40 apples, how many oranges does he have?
Steps
Concepts
Step 1: Understand the ratio of apples to oranges, which is 5:3.
Step 2: Identify how many apples the fruit seller has, which is 40 apples.
Step 3: Set up a proportion using the ratio: 5 (apples) / 3 (oranges) = 40 (apples) / x (oranges).
Step 4: Cross-multiply to solve for x: 5 * x = 3 * 40.
Step 5: Calculate 3 * 40, which equals 120. So, we have 5x = 120.
Step 6: Divide both sides of the equation by 5 to find x: x = 120 / 5.
Step 7: Calculate 120 / 5, which equals 24. Therefore, the fruit seller has 24 oranges.
Ratios and Proportions
– Understanding how to set up and solve ratios and proportions based on given quantities.
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