A fruit seller has apples and oranges in the ratio of 5:3. If he has 40 apples, how many oranges does he have?
Practice Questions
1 question
Q1
A fruit seller has apples and oranges in the ratio of 5:3. If he has 40 apples, how many oranges does he have?
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If the ratio of apples to oranges is 5:3, then for every 5 apples, there are 3 oranges. If there are 40 apples, we can set up the proportion: 5/3 = 40/x. Cross-multiplying gives us 5x = 120, so x = 24. Therefore, there are 24 oranges.
Questions & Step-by-step Solutions
1 item
Q
Q: A fruit seller has apples and oranges in the ratio of 5:3. If he has 40 apples, how many oranges does he have?
Solution: If the ratio of apples to oranges is 5:3, then for every 5 apples, there are 3 oranges. If there are 40 apples, we can set up the proportion: 5/3 = 40/x. Cross-multiplying gives us 5x = 120, so x = 24. Therefore, there are 24 oranges.
Steps: 7
Step 1: Understand the ratio of apples to oranges, which is 5:3. This means for every 5 apples, there are 3 oranges.
Step 2: Identify how many apples the fruit seller has, which is 40 apples.
Step 3: Set up a proportion using the ratio. We can write it as 5/3 = 40/x, where x is the number of oranges.
Step 4: Cross-multiply to solve for x. This means you multiply 5 by x and 3 by 40: 5x = 3 * 40.
Step 5: Calculate 3 * 40, which equals 120. So now we have the equation 5x = 120.
Step 6: Divide both sides of the equation by 5 to find x. So, x = 120 / 5.
Step 7: Calculate 120 / 5, which equals 24. Therefore, the number of oranges is 24.
