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There are 42 students in a class. Out of these, 3/4 of boys and2/3 of girls board buses. total no of girls and boys of the same class is 30. How many boys are there in the class?
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Verified Answer
There are 42 students in a class. Out of these, 3/4 of boys and2/3 of ...
Number of students in class = 42
Let the number of boys in class = x
Then number of girls in class = (42 - x)
According to the question
3x/4 + 2(42 - x)/3 = 30
⇒ 3x/4 + 28 - 2x/3 = 30
⇒ 9x/12 - 8x/12 = 30 - 28
⇒ x/12 = 2
⇒ x = 2 � 12 = 24
Hence, number of boys in class = 24 and number of girls coming to school by bus = 2(42 - 24)/3 = 12
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Most Upvoted Answer
There are 42 students in a class. Out of these, 3/4 of boys and2/3 of ...
Problem Analysis:
Let's break down the problem step by step to find a solution.

Given Information:
- Total number of students in the class = 42
- Number of boys + Number of girls = 30

Step 1: Identify the Variables
Let's assign variables to the unknowns in the problem:
- Number of boys = B
- Number of girls = G

Step 2: Translate the Given Information into Equations
From the given information, we can form two equations:
1) B + G = 30 (Equation 1)
2) 3/4B + 2/3G = Total number of students boarding buses

Step 3: Find the Total Number of Students Boarding Buses
To find the total number of students boarding buses, we need to calculate the sum of the number of boys boarding buses and the number of girls boarding buses. We can express this as:
Total number of students boarding buses = 3/4B + 2/3G

Step 4: Simplify the Equation
To simplify the equation, we need to eliminate the fractions. We can do this by multiplying both sides of the equation by the least common multiple (LCM) of the denominators of the fractions, which is 12 in this case.
12(3/4B + 2/3G) = 12(Total number of students boarding buses)
9B + 8G = 12(Total number of students boarding buses)

Step 5: Substitute Known Values into the Equations
We have two equations:
1) B + G = 30
2) 9B + 8G = 12(Total number of students boarding buses)

We can substitute the value of G from Equation 1 into Equation 2:
9B + 8(30 - B) = 12(Total number of students boarding buses)

Step 6: Solve for B
Now, we can solve the equation to find the value of B.
9B + 240 - 8B = 12(Total number of students boarding buses)
B + 240 = 12(Total number of students boarding buses)
B = 12(Total number of students boarding buses) - 240

Step 7: Determine the Total Number of Students Boarding Buses
To find the total number of students boarding buses, we can substitute the value of B into the equation:
Total number of students boarding buses = 3/4B + 2/3G

Step 8: Evaluate the Final Answer
After substituting the value of B into the equation, we can calculate the total number of students boarding buses.
Community Answer
There are 42 students in a class. Out of these, 3/4 of boys and2/3 of ...
2(42 -24)/37=3
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Tom appeared with a bucket of whitewash and a long-handled brush. He surveyed the fence. All gladness left him and a deep melancholy settled down upon his spirit. Thirty yards of board fence, nine feet high. Life to him seemed hollow and existence but a burden. Sighing, he dipped his brush and passed it along the topmost plank; repeated the operation; compared the insignificant whitewashed streak with the far-reaching continent of unwhitewashed fence and sat down on a tree-box, discouraged.Jim came skipping out at the gate carrying a pail and singing. Bringing water from the town pump had always been a hateful work in Tom’s eyes before, but now it did not strike him so. He remembered that there was company at the pump. Boys and girls were always there waiting their turns, resting, trading playthings, quarrelling, fighting. And he remembered that although the pump was only a hundred and fifty yards off, Jim never got back with bucket of water before an hour and even then somebody generally had to go after him. Tom said: “Say, Jim, I’ll fetch the water if you’ll whitewash some. I’ll give you a marble.” He shook his head fearing aunt Polly’s slipper.On the basis of your reading of the passage, choose the correct option:Q. Bringing water had always been a hateful work in Tom’s eyes because ____________.

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There are 42 students in a class. Out of these, 3/4 of boys and2/3 of girls board buses. total no of girls and boys of the same class is 30. How many boys are there in the class?
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