Answer: There are 97 nickels and 108 quarters.
Step-by-step explanation:
Let x = Number of nickels, y = Number of quarters.
As per given,
x+y = 205 ...(i)
0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]
Multiply (ii) by 20, we get
x+5y=637 ...(iii)
Eliminate (i) from (iii)
4y = 432
⇒ y = 108 [Divide both sides by 4]
Put value of y in (i), we get

Hence, there are 97 nickels and 108 quarters.
80 student tickets and 30 adult tickets must be sold to reach a $700 raise.
Since the drama club is selling tickets to their play to raise money for the show's expenses, and each student ticket sells for $ 5 and each adult ticket sells for $ 10, and the auditorium can hold a maximum of 110 people and the drama club must make a minimum of $ 700 from ticket sales to cover the show's costs, to determine one possible solution the following calculation must be performed:
- 110 x 5 + 0 x 10 = 550
- (700 - 550) / (10 - 5) = 150/5 = 30
- 80 x 5 + 30 x 10 = 400 + 300 = 700
Therefore, 80 student tickets and 30 adult tickets must be sold to reach a $700 raise.
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