Answer:
a) 10
b) The $40+5 dollars for every ticket
c) See below
Step-by-step explanation:
a)
1. Let t=number of tickets
2. Writing an equation
Breaking even means that you earn the same amount of money for both.
40 +5t=70+2t
3. Solving the equation
40 +5t=70+2t
5t-2t=70-40
3t=30
t=10
So the answer to a) is 10.
b)
1. Using an equation
We already know that there are 2 equations for this problem. (40+5t, 70+2t)
So, we will substitute 20 for t.
40+5*20=40+100=140
70+2t=70+2*20=110
2. Comparing equations
140>110, so the first offer is better
C)
The owner lets you choose how you get paid because one option will be better for you, as some days you might not sell many tickets (so you will go with the $70+2 tickets), or some days you might sell many tickets (you will choose the $40+5 dollars/ticket).
