What is the ratio of English and Science majors to Math and History majors, when you know that there are 400 students majoring in English and 150 students majoring in Science and 200 students majoring in Math and 300 students majoring in History?
English and science = 550
Math and history = 500
550/500 = 11/10
To find the ratio of English and Science majors to Math and History majors, we need to calculate the ratios separately and then combine them.
First, let's calculate the ratio of English majors to Math majors:
The number of English majors is 400, and the number of Math majors is 200.
So, the ratio of English majors to Math majors is 400:200, which simplifies to 2:1.
Next, let's calculate the ratio of Science majors to History majors:
The number of Science majors is 150, and the number of History majors is 300.
So, the ratio of Science majors to History majors is 150:300, which simplifies to 1:2.
Now, let's combine the ratios:
To combine these ratios, we add the corresponding parts.
The combined ratio is then 2+1:1+2, which simplifies to 3:3.
Since both sides of the ratio are equal, we can further simplify it to 1:1.
Therefore, the ratio of English and Science majors to Math and History majors is 1:1.