System WP/3 variable QUIZ REVIEW

A barn is filled with horses and chickens. If there are 58 animals and 158 legs, write a system of equations to find the number of horses and the number of chickens in the barn. Choose the correct system.

• H + C = 58

  4H + 2C = 158

• H + C = 158

  4H + 2C = 58

• H + C = 58

  2H + 4C = 158

• H + C = 158

  2H + 4C = 58

Tickets to the school play were sold at $6 for adults and $4.50 for students. If 115 total tickets were sold and a total of $667.50 was made, write and solve a system of equations to find the number of adult tickets sold and the number of student tickets sold. Choose the correct answer.

• 15 student tickets

  100 adult tickets

• 100 student tickets

  15 adult tickets

• 85 student tickets

  30 adult tickets

• 30 student tickets

  85 adult tickets

Michelle is selling tickets to her school's chorus concert. The first day she sold 4 adult tickets and 5 student tickets for a total of $102. The next day she sold 7 adult tickets and 5 student tickets for a total of $126. Write a system of equations to find the price of an adult ticket and the price of a student ticket. Choose the correct system.

• 4A + 5S = 102

  7A + 5S = 126

• 5A + 4S = 102

  5A + 7S = 126

• 4A + 5S = 126

  7A + 5S = 102

• A + S = 102

  A + S = 126

Melissa and Jenny are making jewelry. Melissa buys 2 bags of beads and 1 bag of clasps for a total of $13. Jenny buys 5 bags of beads and 2 bags of clasps for a total of $27.50. Write and solve a system of equations to find the price of each bag of clasps. I repeat, find the price of each bag of clasps.

(Just type the number you get.)

Kyle has a collection of 74 coins that contains nickels and dimes. If the total money Kyle has is $6.10, write and solve a system of equations to find how many DIMES he must have. I repeat, find how many DIMES he must have.

(Just type the number that you get.)

At Madison and Steve's wedding the chicken dinner cost $22 a person and the seafood dinner cost $30 a person. If 176 people came to the wedding and the food bill was a total of $4608, write a system of equations to find the number of people who ordered the chicken dinner and the number of people who ordered the seafood dinner. Choose the correct system.

• C + S = 176

  22C + 30S = 4608

• C + S = 4608

  22C+ 30S = 176

• C + S = 176

  30C + 22S = 4608

• C + S = 4608

  30C + 22S = 176

The grocer has cashews that sell for $4.75 a pound and pecans that sell for $7.95 a pound. How many pounds of each must Tom, the grocer, mix to get a 68 pound mixture that he can sell for $5.50 a pound? Choose the correct system.

• C + P = 68

  4.75C + 7.95P = 5.50

• C + P = 68

  4.75C + 7.95P = 374

• C + P = 5.50

  4.75C + 7.95P = 68

• C + P = 674

  4.75C + 7.95P = 68

A chemist has one solution that is 80% acid and another solution that is 30% acid. How many ounces of each solution should he mix to obtain a 200 ounce solution that is 62% acid? Choose the correct system.

(Warning! You have to solve this system in the next question, so write down the system you choose.)

• E + T = 200

  .80E + .30T = 62

• E + T = 200

  .80E + .30T = 124

• E + T = 62

  .80E + .30T = 200

• E + T = 124

  .80E + .30T = 200

Solve the system from question 9 to find the number of ounces of the 80% acid solution is needed. I repeat, find the number of ounces of the 80% acid solution is needed.

(Just type the number you get.)