Due date : Monday, February 2, 2009
1. Find the number described in each problem by writing and solving an equation
a) If Sarah substracts five times her number from 24, she gets 4. What is Sarah's number?
b) Twice Bill's number added to 17 is 7. What is Bill's number?
c) The sum of 4 times a number and 14 is 16. What is the number?
d) If Susan substracts 11 from one fourth of her number she gets 11. What is Susan's number?
2. The school drama club is performing its summer play at the community theatre. Props for the play cost $250, and the theatre is charging the drama club $1.25 for each ticket sold. So, the total cost, C, for the drama club to put on the play is C=1.25N+250, where N is the number of tickets sold. Customers pay $4 for each ticket, so the total amount collected from ticket sales is T=4N.
a) What is the cost if 213 tickets are sold?
b) How much are the total ticket sales if 213 tickets are sold?
c) What is the drama club's profit or loss if 213 tickets are sold?
d) If the total ticket sales are $780, how many people attended the play?
e) What is the cost of putting on the play for the number of people you found in d)?
f) How many tickets does the drama club need to sell to break even?
g) The drama club would like to earn a profit of $500 from play. How many tickets need to be sold for the club to meet this goal?
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