Systems of Equations - Word Problems #3 (Grade 10)

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Systems of Equations - Word Problems #3

1. 
You are ordering softballs for two softball leagues. The size of a softball is measured by its circumference. The Pony League uses an 11-inch softball priced at $3.50. the Junior League uses a 12-inch softball priced at $4.00. The bill smeared in the rain, but you know the total was 80 softballs for $305. How many of each size did you order?
  1. Small = 50, Large = 30
  2. Small = 25, Large = 55
  3. Small = 55, Large = 25
  4. Small = 30, Large = 50
2. 
The manager of the White Hall Spartan Movie Theatre found that Saturday's sales were $3,675. He knew that a total of 650 tickets were sold Saturday. Adult tickets cost $7.50, and children's tickets cost $4.50. How many of each kind of ticket were sold?
  1. Children: 250 tickets; Adults: 400 tickets
  2. Children: 160 tickets; Adults: 490 tickets
  3. Children: 344 tickets; Adults: 306 tickets
  4. Children: 400 tickets; Adults: 250 tickets
3. 
Alyssa has $2.70 in change in her purse. Her coins consist only of dimes and nickels. She has 39 total coins. How many dimes and nickels does she have?
  1. 14 dimes, 25 nickels
  2. 15 dimes, 24 nickels
  3. 13 dimes, 26 nickels
  4. 12 dimes, 27 nickels
4. 
If you pay $11 for 1 apple and 9 bananas and pay $7 for 3 apples and 1 banana, how much does an apple and a banana cost?
  1. Apple = $ -1 Banana = $2/3
  2. Apple = $2 Banana = $1
  3. Apple = $1 Banana = $4/9
  4. Apple = $1/2 Banana = $1/2
5. 
There are 29 dimes and quarters on the counter that have a total value of $5.30. How many quarters are there?
  1. 16
  2. 13
  3. 5
  4. 10
6. 
A group of 110 people attended an art festival to raise money for charity. Both faculty members and students attended. The standard donation was $5 for faculty and $2 for students. If $340 was raised, how many students attended the festival?
  1. 75
  2. 70
  3. 80
  4. 40
7. 
The perimeter of a rectangle is 36 inches. If its length is twice its width, how wide is it?
  1. 4 inches
  2. 6 inches
  3. 8 inches
  4. 12 inches
8. 
A vending machine contains three times as many quarters as it does dollar bills. If the total cash is $210, how many quarters are in the machine?
  1. 120
  2. 240
  3. 360
  4. 380
9. 
A student took 60 minutes to answer a combination of 20 multiple choice and extended-response questions. She took 2 minutes to answer each multiple choice and 6 minutes to answer each extended response. How many extended response questions were on the test?
  1. 15
  2. 5
  3. 10
  4. None of the above
10. 
There are 15 dimes and nickels on the counter that have a total value of $1.10. How many nickels are there?
  1. 6
  2. 7
  3. 8
  4. 9

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