There are 30 students in a class. If the ratio of boys to girls is 2:3, how many boys are in the class?
The sum of two consecutive even integers is 36. Find the integers.
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Given that the ratio of boys to girls is 2:3, the total ratio is 2+3 = <<2+3=5>>5
The fraction that represents the number of boys in the class is 2/5, so the number of boys in the class is 2/5*30 = <<2/5*30=12>>12 students. Answer: \boxed{12} students
Let's represent the two consecutive even integers as n and n+2.
Given that the sum of two consecutive even integers is 36, the equation becomes n + (n+2) = 36.
Combining like terms, n + n + 2 = 36, 2n+ 2 = 36.
Subtracting 2 from both sides of the equation gives 2n = 34.
To solve for n, we will divide both sides of the equation by 2. n = 34/2 = 17.
Thus, the two consecutive even integers are 17 and 17 +2 = 19. Answer: \boxed{17,\,19}.
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