108 Total Students Take Foreign Language
98 take French.
107 take German.
55 take French and German.
57 take German and Russian.
18 take French as their only foreign language.
26 take French, Russian, and German.
HOW MANY TAKE RUSSIAN? _________
HOW MANY TAKE FRENCH AND RUSSIAN BUT NOT GERMAN? _______
98 take French.
107 take German.
55 take French and German.
57 take German and Russian.
18 take French as their only foreign language.
26 take French, Russian, and German.
HOW MANY TAKE RUSSIAN? _________
HOW MANY TAKE FRENCH AND RUSSIAN BUT NOT GERMAN? _______
-
Draw a Venn diagram with three loops inside a box. Make sure that all the loops overlap including a triple overlap. Label the loops F, G, R.
Now fill in the sections that you know starting with the inside. 26 are in the triple overlap. Now 55 take F and G but not R so since 26 are already in the triple overlap you need an extra 29 in the part that is inside the F and G loops but not in the triple overlap.
Continue like that. My suggested order is, 57 G and R, 18 F only, F and R, G only, R only, none.
Now fill in the sections that you know starting with the inside. 26 are in the triple overlap. Now 55 take F and G but not R so since 26 are already in the triple overlap you need an extra 29 in the part that is inside the F and G loops but not in the triple overlap.
Continue like that. My suggested order is, 57 G and R, 18 F only, F and R, G only, R only, none.