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Tuesidry I. in a class of 42 students, the number of boys is( 2)/(5) of the girls. Find the number of boys and girts in the class.

User Esmie
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1 Answer

3 votes

Final answer:

To find the number of boys and girls in the class, let's assign variables B and G. We can write two equations using the given information and solve for B and G. There are 12 boys and 30 girls in the class.

Step-by-step explanation:

To find the number of boys and girls in the class, let's assign variables. Let B represent the number of boys and G represent the number of girls.

From the problem, we know that the number of boys is (2/5) of the girls. This can be written as:

B = (2/5)G

We also know that the total number of students in the class is 42. So we can write:

B + G = 42

Now we can use these two equations to solve for the values of B and G. First, let's solve for B in terms of G by substituting (2/5)G for B in the second equation:

(2/5)G + G = 42

Next, let's combine like terms:

(7/5)G = 42

To isolate G, we can multiply both sides of the equation by the reciprocal of (7/5), which is (5/7):

((7/5)G) * (5/7) = 42 * (5/7)

Simplifying, we get:

G = 30

Finally, we can substitute G=30 into the first equation to find B:

B = (2/5) * 30

Simplifying, we get:

B = 12

Therefore, there are 12 boys and 30 girls in the class.

User Sachin Irukula
by
8.3k points
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