Question

1. the venn diagram below shows the number of people at the gym signed up for yoga or aerobics class.

venn diagram: yoga circle has 68 (only yoga) and 24 (both), aerobics circle has 89 (only aerobics) and 24 (both), outside both circles is 575

a. how many people are signed up for yoga class?

b. how many people are signed up for yoga or aerobics?

c. how many people are signed up for aerobics but not yoga?

d. how many people belong to the gym?

Explanation:

Step1: Calculate total yoga sign-ups

Add only yoga + both classes:
$68 + 24 = 92$

Step2: Calculate yoga or aerobics

Add only yoga + only aerobics + both:
$68 + 89 + 24 = 181$

Step3: Calculate aerobics not yoga

Take only aerobics value:
$89$

Step4: Calculate total gym members

Add all Venn diagram values:
$68 + 24 + 89 + 575 = 756$

Answer:

a. 92
b. 181
c. 89
d. 756