The Ratio of boys to girls was 3 to 7. If there were 40 more girls boys in 2016 how many boys were enrolled that year?
How can you hope to solve this math problem when you don't know what subject this is??
g = b+40
b/g =3/7 so b =3g/7
so
g = 3g/7 +40
7g/7 = 3g/7 + 40
4 g = 40*7
g = 70
b = 3*70/7 =30
To solve this problem, we need to analyze the given information and use algebraic reasoning.
Let's assign variables to the unknown quantities. Let B represent the number of boys and G represent the number of girls.
According to the information given, the ratio of boys to girls is 3:7, which means that for every 3 boys, there are 7 girls. Therefore, we can express this relationship mathematically as B/G = 3/7.
Next, we are told that there were 40 more girls than boys in 2016. This can be expressed as G = B + 40.
To find the number of boys enrolled in 2016, we need to solve the system of equations:
B/G = 3/7 ...(Equation 1)
G = B + 40 ...(Equation 2)
First, we can simplify Equation 1 by cross-multiplication to eliminate the fractions:
7B = 3G
Next, we substitute Equation 2 into Equation 1:
7B = 3(B + 40)
Distribute 3 to the terms inside the parentheses:
7B = 3B + 120
Combine like terms:
7B - 3B = 120
4B = 120
Divide both sides of the equation by 4:
B = 30
Therefore, there were 30 boys enrolled in 2016.