Just make a table

The numbers written in black is what were given

The numbers written in red are the calculations based on what was given

If there are 150 students in total, but 110 taking spanish, then there are 40 people not taking Spanish

Also, if there are 150 students, and 75 students take Latin, then 75 Students dont take latin

Out of 75 students who dont take Latin, 11 take neither latin nor spanish, which means there are 75-11=64 students who take spanish but not latin

out of the 110 studetns that take spanish, there are 110-64=46 students who also take latin

Out of the 75 students that take latin, 75-46 =29 that take only latin.

This table, on paper, takes about 50 seconds to complete if you are good with simple math, and don't want to learn anything

that may seem too complicated.

Attachments

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