The ratio of winning raffle tickets to losing raffle tickets is 4 to 9 , If mrs tucker purchases 117 raffle tickets how many winning tickets can he expect to have
First, we need to calculate the total number of parts in the ratio:
4 + 9 = 13
This means that for every 13 raffle tickets, 4 are winning and 9 are losing. To find out how many winning tickets Mrs. Tucker can expect to have, we need to set up a proportion:
4/13 = x/117
where x is the number of winning tickets. To solve for x, we cross-multiply:
4 * 117 = 13 * x
468 = 13x
x = 36
Therefore, Mrs. Tucker can expect to have 36 winning tickets out of 117.
or , without all that unnecessary fuss
number of winners -- 4x
number of losers --- 9x
4x + 9x = 117
x = 117/13 = 9
so we have 4x or 36 winning tickets.