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?
- Small = 50, Large = 30
- Small = 25, Large = 55
- Small = 55, Large = 25
- 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?
- Children: 250 tickets; Adults: 400 tickets
- Children: 160 tickets; Adults: 490 tickets
- Children: 344 tickets; Adults: 306 tickets
- 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?
- 14 dimes, 25 nickels
- 15 dimes, 24 nickels
- 13 dimes, 26 nickels
- 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?
- Apple = $ -1 Banana = $2/3
- Apple = $2 Banana = $1
- Apple = $1 Banana = $4/9
- 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?
- 16
- 13
- 5
- 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?
- 75
- 70
- 80
- 40
7.
The perimeter of a rectangle is 36 inches. If its length is twice its width, how wide is it?
- 4 inches
- 6 inches
- 8 inches
- 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?
- 120
- 240
- 360
- 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?
- 15
- 5
- 10
- 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?
- 6
- 7
- 8
- 9
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