Question

1. a group of 155 people are voting on ideas for their organization. the number of members who support each idea are shown on the venn diagram below. how many members only support idea #2?

Explanation:

Step1: Recall Venn - diagram principle

The total number of people is 155. The number of people who support Idea #1 is the sum of the part that only supports Idea #1 and the part that supports both Idea #1 and Idea #2. Let the number of people who only support Idea #2 be \(x\).

Step2: Set up an equation

We know that \(17 + 104+x=155\).

Step3: Solve the equation

First, simplify the left - hand side of the equation: \(121 + x=155\). Then, subtract 121 from both sides: \(x=155 - 121\). So \(x = 34\).

Answer:

34