Answer:
Step-by-step explanation:
write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets
Volleyball Team: T(V) = 2.50x(V)
The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).
We know the amounts each team has raised, sio we can calculate the number of tickets:
Basketball
$275 = $4.50x(B)
x(B) = 61.11 [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]: 61 tickets from the Baseball team
$500 = $2.50x(V)
x(V) = 200 tickets from the Volleyball team
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"write an equation that would represent when the basketball team would have more money than the volleyball team."
We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]
T(B)/T(V) = ($4.50x(B))/($2.50x(V))
1 <= ($4.50/$2.50)*(x(B)/x(V))
1 <= 1.8(x(B)/x(V))
x(V) <= 1.8*(x(B))
The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.
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The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.
To reach $500:
$500 = $4.50*x(B)
x(B) = 111.11 (Another rounding problem, but we don't need to worry. It wants to kniow "how many MORE."
(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.
