The ratio of winning raffle tickets to losing raffle tickets is 4 to 9. If Mr. Tucker purchases 117 raffle tickets, how many winning tickets can he expect to have?
First, we need to determine the total number of parts in the ratio of winning tickets to losing tickets, which is 4 + 9 = 13 parts.
Next, we need to find out how many parts make up one ticket, which is 117 tickets divided by 13 parts = 9 tickets per part.
Since there are 4 parts representing winning tickets, Mr. Tucker can expect to have 4 parts x 9 tickets per part = 36 winning tickets.