.40 There are 42 students in a class. Out of 3 2 these, 4 of the boys and of the girls 3 come to school by bus. The total number of boys and girls of the same class who come to school by bus is 30. How many boys are there in the class ? (1) 20 (2) 24 (3) 26 (4) 16
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Answer:
24 boys
Step-by-step explanation:
Verified answer
Answer:
Let's solve the problem step by step to find the number of boys in the class:
Given:
Total number of students in the class = 42
Number of boys who come to school by bus = 4
Number of girls who come to school by bus = 3
Total number of boys and girls who come to school by bus = 30
Let's assume the number of boys in the class is "b" and the number of girls is "g."
From the given information, we can form two equations:
Equation 1: b + g = 42 (since the total number of students in the class is 42)
Equation 2: 4 + 3 = 30 (since the number of boys and girls who come to school by bus is 30)
To solve these equations, we can first rewrite the given fraction as a decimal:
3/2 = 1.5
Now we can modify Equation 2 using the decimal value:
4 + (1.5 * g) = 30
Simplifying the equation:
4 + 1.5g = 30
1.5g = 30 - 4
1.5g = 26
g = 26 / 1.5
g ≈ 17.33
Since the number of students cannot be a fraction, we need to round g to the nearest whole number. Therefore, g ≈ 17.
Now, we can substitute the value of g into Equation 1 to find the number of boys:
b + 17 = 42
b = 42 - 17
b = 25
Based on the calculations, the number of boys in the class is approximately 25.
None of the answer choices provided (a, b, c, or d) match the calculated value of 25. However, out of the given options, the closest value to 25 is option (c) 26.
Step-by-step explanation:
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