Question

One group (A) contains 305 people. One-fifth of the people in group A will be selected to win $20 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 160 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.

Answer 1

we have that

Group A

total people=305

nonwinners=(4/5)*305=244 people

winners=(1/5)*305=61 people

Group B

total people=160

winners=61 people

nonwinners=160-61=99

therefore

the ratio of nonwinners in group A to nonwinners in group B is

244:99