10 Paula asked 30 students what they ate for lunch.

Question

All the students had at least a sandwich, salad or fruit.
5 students had a sandwich, salad and fruit.
7 students had a sandwich and fruit.
9 students had a sandwich and salad.
7 students had salad and fruit.
14 students had a sandwich.
7 students had fruit only.
a Draw a Venn diagram to show this information.

Answer 1

looks quite simple,

draw your Venn diagram, label the intersecting circles sw, s and f
place 5 in the intersection of the 3 circles.

Now look at the intersection of th sandwich and fruit, it says 7
but you already placed 5 into part of that region, so that leaves 2 for the part of sw and f but not f

continue in that pattern until all the regions are filled in
Their total should be 30

Answer 2

Students | food
5 | sandwich/salad/fruit
7 | 🍞 sandwich/fruit🍎
9 | 🍞sandwich/salad🍜
7 | 🍜salad/fruit🍊
14 | 🍞sandwich
7 | fruit🍊
49 students are total