A polling company surveyed a certain country, and it found that 35% of

A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party A. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?

assume the total pool of registered voters = 100, so 35 of the country’s registered voters had an unfavorable impression of both of that state’s major political parties and 20 had a favorable impression only of Party A

let x = # of voters with a favorable impression of both parties
let 2x = # of voters with a favorable impression only of Party B
so unfavorable A and favorable B # of voters = 2x-x = x
35+x = number of unfavorable A

20+ 35+x = 100
55+x=100
x=45


E. 45