A fruit seller has apples and oranges in the ratio of 5:3. If he has 40 apples,

A fruit seller has apples and oranges in the ratio of 5:3. If he has 40 apples, how many oranges does he have?

A fruit seller has apples and oranges in the ratio of 5:3. If he has 40 apples, how many oranges does he have?

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.

Ratio and Proportion – Understanding how to set up and solve ratios based on given quantities.