An office set out a box of candy bars for its interns in its break room. Thirty-four of the bars had nuts in them, 26 had fruits in them, and 38 had chocolate chips in them. Ten bars had just nuts and chocolate chips in them, 8 bars had just fruits and chocolate chips in them, 6 had nuts, fruits, and chocolate chips in them, and none of the bars had just nuts and fruits in them.

Show your work using a Venn Diagram or equations.

a) How many total bars were in the box?

b) How many bars had just nuts in them?

c) How many bars had just fruits in them?

d) How many bars had just chocolate chips in them?