1. Do Now
The owner of a movie theater was counting the money from 1 day’s ticket sales. He knew that a total of 150 tickets were sold. Adult tickets cost $7.50 each and children’s tickets cost $4.75 each. If the total receipts for the day were $891.25, how many of each kind of ticket were sold?

2. Homework Solutions 11) Let s = hourly cost of sprayer
Let g = hourly cost of generator
6s + 6g = s g = 180
4s + 8g = – 12s g = 300
– 12g = – 120
g = 10
6s + 6g = 90
6s + 6(10) = 90
6s + 60 = 90
6s = 30
s = 5
The sprayer cost $5 / hour and the generator $10 / hour.

3. Homework Solutions 12) Let r = number of robins
Let c = number of cardinals
r = 3c
r + c = 20
3c + c = 20
4c = 20
c = 5 r = 3c
r = 3(5)
r = 15
5 cardinals and 15 robins

4. Homework Solutions 13) Let g = number of grasshoppers
Let c = number of crickets
g + c = 561
g = 2c
2c + c = 561
3c = 561
c = 187 g = 2c
g = 2(187)
g = 374
187 crickets and 374 grasshoppers

5. Homework Solutions 16) Let a = number of adult tickets
Let c = number of children’s tickets
a + c = a c =
7.50a c = – 7.50a c =
– 2.75a = –
a = 65
a + c = 150
(65) + c = 150
c = 85
65 adult and 85 children’s tickets were sold.

6. Homework Solutions 17) Let b = number of balcony tickets sold
Let f = number of floor tickets sold
b = f
4b f = 3056
4(100 + f) + 12f = 3056
f + 12f = 3056
f = 3056
16f = 2656
f = 166
266 balcony tickets were sold.
b = f
b = (166)
b = 266

7. Vanessa has $9. 75 in dimes and quarters
Vanessa has $9.75 in dimes and quarters. If she has 75 coins, how many of each type of coin does she have?

8. Using only 32-cent and 20-cent stamps, Charlie put $3
Using only 32-cent and 20-cent stamps, Charlie put $3.36 postage on a package he sent to his sister. He used twice as many 32-cent stamps as 20-cent stamps. Determine how many of each type of stamp he used.

9. Ben had twice as many nickels as dimes. Altogether, Ben had $4. 20
Ben had twice as many nickels as dimes. Altogether, Ben had $ How many nickels and how many dimes did Ben have?