In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men, how many women are there?
Practice Questions
1 question
Q1
In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men, how many women are there?
80
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If the ratio of men to women is 3:2, then for every 3 men, there are 2 women. If there are 120 men, we can set up the proportion: 3/2 = 120/x. Solving for x gives x = 80. Therefore, there are 80 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 3:2. If there are 120 men, how many women are there?
Solution: If the ratio of men to women is 3:2, then for every 3 men, there are 2 women. If there are 120 men, we can set up the proportion: 3/2 = 120/x. Solving for x gives x = 80. Therefore, there are 80 women.
Steps: 8
Step 1: Understand the ratio of men to women, which is 3:2. This means for every 3 men, there are 2 women.
Step 2: Identify how many men there are in the town, which is given as 120 men.
Step 3: Set up a proportion based on the ratio. We can write it as 3 (men) / 2 (women) = 120 (men) / x (women).
Step 4: Cross-multiply to solve for x. This means 3 * x = 2 * 120.
Step 5: Calculate 2 * 120, which equals 240. So now we have 3x = 240.
Step 6: Divide both sides of the equation by 3 to find x. So, x = 240 / 3.
Step 7: Calculate 240 / 3, which equals 80. Therefore, x = 80.
Step 8: Conclude that there are 80 women in the town.
