Problema Solution
At a booth at the school carnival in past years, they've found that 24% of student win a stuffed toy($3.50), 16% of students win a jump rope ($1.40), and 8% of students win a t-shirt ($7.75). The remaining students do not win a prize. If 175 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth?
Answer provided by our tutors
If 175 students play the game, we can represent the number of students who will win a stuffed toy ('s'), jump rope ('j'), and t-shirt ('t') as:
s=.24(175)
j=.16(175)
t=.08(175)
We can also write the total cost ('c') of the expected prizes as:
c=3.5s+1.4j+7.75t
Combining these equations, we get:
c=3.5(.24(175))+1.4(.16(175))+7.75(.08(175))
c=$294.70
This is the amount that the carnival committee should expect to pay for prizes for that booth.