Question

A coffee shop collected the following information regarding purchases from 110 of its customers. 67 purchased coffee. 41 purchased donuts. 19 purchased coffee and donuts. Complete parts a) through c) . a) Of those surveyed, how many purchased only coffee? (Type a whole number.)

Answer 1

We have the next information

Let X be the number of customer purchased coffee

Let Y be the number of customer pwho urchased donuts

X∩Y Then is the number of customers who purchased both coffee and donuts

X∪Y is the number of customers who purchased both coffee or donuts

The number of customers who purchase only coffee is

$67-19=48$

48 customers purchased only coffee

The number of customers who purchase only donuts is

$41-19=22$

22 customers purchased only donuts

In order to know how many customers did not purchase either of these items

First we will calculate the customers that purchase something

$67+41-19=89$

then we know that the total number of customers is 110

$110-89=21$

21 customers did not purchase either of these items