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Omni-MATH / There are 400 students at Pascal H.S., where the ratio of boys to girls is 3:2. There are 600 students at Fermat C.I., where the ratio of boys to girls is 2:3. What is the ratio of…

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problem

There are 400 students at Pascal H.S., where the ratio of boys to girls is 3:23: 2. There are 600 students at Fermat C.I., where the ratio of boys to girls is 2:32: 3. What is the ratio of boys to girls when considering all students from both schools?
Plain-text mathematical notation (without MathML)
There are 400 students at Pascal H.S., where the ratio of boys to girls is 3:2. There are 600 students at Fermat C.I., where the ratio of boys to girls is 2:3. What is the ratio of boys to girls when considering all students from both schools?
Original LaTeX notation
There are 400 students at Pascal H.S., where the ratio of boys to girls is $3: 2$. There are 600 students at Fermat C.I., where the ratio of boys to girls is $2: 3$. What is the ratio of boys to girls when considering all students from both schools?

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