In a certain company, the ratio of the number of engineers to the number of managers is 5:2. If there are 70 engineers, how many managers are there?
Practice Questions
1 question
Q1
In a certain company, the ratio of the number of engineers to the number of managers is 5:2. If there are 70 engineers, how many managers are there?
28
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40
Let the number of managers be x. According to the ratio, 5/2 = 70/x. Cross-multiplying gives 5x = 140, so x = 28.
Questions & Step-by-step Solutions
1 item
Q
Q: In a certain company, the ratio of the number of engineers to the number of managers is 5:2. If there are 70 engineers, how many managers are there?
Solution: Let the number of managers be x. According to the ratio, 5/2 = 70/x. Cross-multiplying gives 5x = 140, so x = 28.
Steps: 8
Step 1: Understand the ratio of engineers to managers, which is 5:2.
Step 2: Let the number of managers be represented by 'x'.
Step 3: Set up the ratio using the number of engineers (70) and the number of managers (x): 5/2 = 70/x.
Step 4: Cross-multiply to eliminate the fraction: 5 * x = 2 * 70.
Step 5: Calculate the right side: 2 * 70 = 140, so now we have 5x = 140.
Step 6: Solve for x by dividing both sides by 5: x = 140 / 5.
Step 7: Calculate 140 divided by 5, which equals 28.
