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?

Homework Solutions 11) Let s = hourly cost of sprayer Let g = hourly cost of generator 6s + 6g = 90 12s + 12g = 180 4s + 8g = 100 – 12s + 24g = 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.

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

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

Homework Solutions 16) Let a = number of adult tickets Let c = number of children’s tickets a + c = 150 4.75a + 4.75c = 712.50 7.50a + 4.75c = 891.25 – 7.50a + 4.75c = 891.25 – 2.75a = – 178.75 a = 65 a + c = 150 (65) + c = 150 c = 85 65 adult and 85 children’s tickets were sold.

Homework Solutions 17) Let b = number of balcony tickets sold Let f = number of floor tickets sold b = 100 + f 4b + 12f = 3056 4(100 + f) + 12f = 3056 400 + 4f + 12f = 3056 400 + 16f = 3056 16f = 2656 f = 166 266 balcony tickets were sold. b = 100 + f b = 100 + (166) b = 266

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?

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.

Ben had twice as many nickels as dimes. Altogether, Ben had $4. 20 Ben had twice as many nickels as dimes. Altogether, Ben had $4.20. How many nickels and how many dimes did Ben have?