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The ratio of number of boys to number of girls in a tutorial is 2:3. If there are 180 girls, what is the number of boys?
- a)36
- b)60
- c)120
- d)100
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio of number of boys to number of girls in a tutorial is 2:3. I...
Ratio of number of boys to number of girls = 2:3
Number of girls = 180
Let the number of boys be x.
⇒ 2/3 = x/180 [∵ they are equivalent ratios]
⇒ 3x = 2×180
⇒ x = 360/3
⇒ x = 120
∴ Number of boys are 120.
Number of girls = 180
Let the number of boys be x.
⇒ 2/3 = x/180 [∵ they are equivalent ratios]
⇒ 3x = 2×180
⇒ x = 360/3
⇒ x = 120
∴ Number of boys are 120.
Most Upvoted Answer
The ratio of number of boys to number of girls in a tutorial is 2:3. I...
To find the number of boys in the tutorial, we need to use the given ratio of boys to girls and the given number of girls.
Let's assume the number of boys is represented by "2x" and the number of girls is represented by "3x", where "x" is a constant.
Given that there are 180 girls in the tutorial, we can set up the following equation:
3x = 180
To solve for "x", we divide both sides of the equation by 3:
x = 180 / 3
x = 60
Now that we have the value of "x", we can find the number of boys by substituting it back into the expression "2x":
Number of boys = 2x = 2 * 60 = 120
Therefore, the number of boys in the tutorial is 120.
So, the correct answer is option C) 120.
Let's assume the number of boys is represented by "2x" and the number of girls is represented by "3x", where "x" is a constant.
Given that there are 180 girls in the tutorial, we can set up the following equation:
3x = 180
To solve for "x", we divide both sides of the equation by 3:
x = 180 / 3
x = 60
Now that we have the value of "x", we can find the number of boys by substituting it back into the expression "2x":
Number of boys = 2x = 2 * 60 = 120
Therefore, the number of boys in the tutorial is 120.
So, the correct answer is option C) 120.
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