In a certain town, the ratio of the number of men to women is 3:4. If there are

In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men in the town, how many women are there?

In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men in the town, how many women are there?

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. The problem states there are 120 men.
Step 3: Set up a proportion based on 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 3 * x = 4 * 120.
Step 5: Calculate 4 * 120, which equals 480. So now we have 3x = 480.
Step 6: Divide both sides of the equation by 3 to find x. This gives x = 480 / 3.
Step 7: Calculate 480 / 3, which equals 160. Therefore, there are 160 women in the town.

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