Three out of every 45 tickets sold in a food bank raffle will win a prize. if Eli and his friends bought 15 tickets, which proportion can be used to predict w, the number of prizes they would expect to win?
A.3/45=15/w
B.3/w=15/45
C.3/45=w/15
D.w/15=45/3
C?
Correct
What is the answer
To solve this problem, we need to set up a proportion to find the number of prizes Eli and his friends would expect to win.
We know that three out of every 45 tickets sold will win a prize. Let's represent the number of prizes they would expect to win as w.
The ratio of winning tickets to total tickets is 3/45, and the ratio of their tickets to the total number of tickets they bought is 15/w.
Setting up this proportion, we have:
3/45 = 15/w
Now we can cross multiply:
3w = 45 * 15
Simplifying further:
3w = 675
Finally, we solve for w:
w = 675 / 3
w = 225
Therefore, the appropriate proportion to predict the number of prizes they would expect to win is:
A. 3/45 = 15/w