Question

Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T. How many people in the group are in favor of a flat tax

Answer 1

Missing Information:

• Of the people in the group who support Candidate R, 58 percent are in favor of flat tax
• Of the people in the group who support Candidate T, 22 are in favor of a flat tax.

Answer:

`Total = 26.1\%N + 22`

Explanation:

Given

`R = 45\%` --
`Percentage`
`of\ R` in the total population

`Favor\ Flat\ Tax = 58\%` in group R

`Favor\ Flat\ Tax = 22` in group T

Required

Determine the number of people that supports T

First, the proportion of those that supports flax rate in R needs to be calculated.

`Proportion = 45\% * 58\%`

`Proportion = 26.1\%`

So, those that favor flat tax rate in group R are:

`Favor\ Flat\ Tax = 26.1\%N`

Where N represents the total population.

Total number of people that supports the flax tax rate is gotten by adding people that support flat tax rate in each group.

`Total = Group\ R + Group\ T`

`Total = 26.1\%N + 22`