In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men, how many women are there?
Practice Questions
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Q1
In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men, how many women are there?
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If the ratio of men to women is 3:4, then for every 3 men, there are 4 women. If there are 120 men, we can set up the proportion: 3/4 = 120/x. Cross-multiplying gives us 3x = 480, so x = 160. Therefore, there are 160 women.
Questions & Step-by-step Solutions
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Q
Q: In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men, how many women are there?
Solution: If the ratio of men to women is 3:4, then for every 3 men, there are 4 women. If there are 120 men, we can set up the proportion: 3/4 = 120/x. Cross-multiplying gives us 3x = 480, so x = 160. Therefore, there are 160 women.
Steps: 7
Step 1: Understand the ratio of men to women, which is 3:4. This means for every 3 men, there are 4 women.
Step 2: Identify how many men there are in the town. In this case, there are 120 men.
Step 3: Set up a proportion using the ratio. We can write it as 3/4 = 120/x, where x is the number of women.
Step 4: Cross-multiply to solve for x. This means you multiply 3 by x and 4 by 120.
Step 5: Write the equation from the cross-multiplication: 3x = 480.
Step 6: Solve for x by dividing both sides of the equation by 3. This gives you x = 480 / 3.
Step 7: Calculate the value of x, which is 160. This means there are 160 women in the town.
