360,295 views
10 votes
10 votes
52 students in class plant trees, every guy plants 3 trees and every girl plants 2 trees. We know the guys planted 36 more trees than the girls, how many guys are in this class?

User Dave Fort
by
2.4k points

2 Answers

18 votes
18 votes

Final answer:

There are 16 guys in this class.

Step-by-step explanation:

Let's assume that there are 'g' number of guys in the class. Since each guy plants 3 trees, the total number of trees planted by guys would be 3g. Similarly, let's assume that there are 'f' number of girls in the class. Since each girl plants 2 trees, the total number of trees planted by girls would be 2f.

According to the given information, the guys planted 36 more trees than the girls. So, we can write the equation: 3g = 2f + 36.

We also know that the total number of students in the class is 52. Therefore, we can write another equation: g + f = 52.

Now, we can solve these two equations to find the number of guys in the class. By substituting the value of f from the second equation into the first equation, we get: 3g = 2(52 - g) + 36.

Simplifying this equation, we get: g = 16.

Therefore, there are 16 guys in this class.

User Sara Brown
by
2.4k points
22 votes
22 votes

Answer:

x+y=52

3x=2y+36

_____

x=-y+52

-3y+156=2y+36

5y=120

y=24

52-24=30

30 guys in the class

User Claco
by
3.2k points