Final answer:
To find the ratio of the number of girls to the number of boys who earned varsity letters in 2000, we need to calculate the number of girls and boys separately. We can use the information given to set up equations and solve for the number of girls and boys in 2000.
Step-by-step explanation:
To find the ratio of the number of girls to the number of boys who earned varsity letters in 2000, we need to calculate the number of girls and boys separately. Let's assume that there are x girls and y boys in 2000.
Based on the information given, in 1990, there were twice as many boys as girls who earned varsity letters. So, we can write the equation:
2x = y
From 1990 to 2000, the number of girls earning varsity letters increased by 25%. This means the number of girls in 2000 is:
x + 0.25x = 1.25x
The number of boys earning varsity letters decreased by 25% from 1990 to 2000. This means the number of boys in 2000 is:
y - 0.25y = 0.75y
Now we can find the ratio of girls to boys by dividing the number of girls (1.25x) by the number of boys (0.75y):
(1.25x)/(0.75y)