The mathematics club in a school has 53 members. 5/7 of the girls members and 3/5 of the boys members are from lower secondary. The total number of lower secondary members is 35. How many members of the club are boys?
X girls in the class.
(53-x) boys in the class.
5x/7 + 3/5(53-x) = 35.
25x + 21(53-x) = 1225.
25x + 1113-21x = 1225.
4x = 112, X = 28.
53-28 = 25 Boys in the class.
right
By the way I have d1 and in the answers it says that 25 members are boys not 28
Syynzbjendje
go to bed
To solve this problem, we need to break down the given information and use algebraic expressions to represent the unknowns. Let's start by assigning variables:
Let G represent the total number of girls in the mathematics club.
Let B represent the total number of boys in the mathematics club.
According to the information given, 5/7 of the girls are from lower secondary, so the number of lower secondary girls is (5/7)G.
Similarly, if 3/5 of the boys are from lower secondary, then the number of lower secondary boys is (3/5)B.
Now let's form the equations based on the given information:
(5/7)G + (3/5)B = 35 -- Equation 1, as the total number of lower secondary members is 35.
G + B = 53 -- Equation 2, as the total number of members in the club is 53.
To solve these equations simultaneously, we can multiply Equation 2 by 3/5, as it will help us eliminate the variable G:
(3/5)(G + B) = (3/5)(53)
(3/5)G + (3/5)B = 159/5
Now we can subtract Equation 1 from this new equation:
(3/5)G + (3/5)B - (5/7)G - (3/5)B = 159/5 - 35
(3/5 - 5/7)G = 159/5 - 35
(21/35 - 25/35)G = 159/5 - 35
(-4/35)G = 159/5 - 35
Simplifying the right-hand side:
(-4/35)G = 159/5 - 35
(-4/35)G = 159/5 - 175/5
(-4/35)G = -16/5
To solve for G, we can cross-multiply and find:
5(-4/35)G = -16
(-4/7)G = -16
G = (-16) / (-4/7)
G = 56
So, the total number of girls in the mathematics club is 56.
To find the number of boys, substitute G=56 into Equation 2:
56 + B = 53
B = 53 - 56
B = -3
However, a negative value for the number of boys does not make sense. Therefore, there is an error in the calculations, and we need to revisit the problem or double-check the information provided.