SOLUTION: Pietro's Pizza and Sandwiches delivered lots of sandwiches one rainy Saturday. They took orders for 30 sandwiches with cheese, 25 with tomatoes, and 18 with pepperoni. there were

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Question 186070: Pietro's Pizza and Sandwiches delivered lots of sandwiches one rainy Saturday. They took orders for 30 sandwiches with cheese, 25 with tomatoes, and 18 with pepperoni. there were 18 with cheese and tomato, 14 with tomato and pepperoni, and 10 with all three toppings. there were 8 with only cheese. how many sandwiches did they deliver?
i have worked with the numbers and the pizzas don't add up. i don't know if it is extra info.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I come up with 37 sandwiches
I drew 3 interlocking circles with
an area in the middle common to
all three
Here's the breakdowns:
c only ---t only ---p only --- c&t --- t&p --- c&p
-----------------------------------------------------
----8--------3-------0--------18--------14------14
I add up:
8 c only
8 c&t only
3 t only
4 t&p only
0 p only
4 p&c only
10 All 3 toppings
-----
37