Solving Systems of Equations with Three Variables

Quiz
•
English, Mathematics
•
8th Grade
•
Hard
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has three types of crops: corn, wheat, and soybeans. He wants to plant a total of 120 acres. If he plants 2 acres of corn for every acre of wheat and 3 acres of soybeans for every acre of corn, how many acres of each crop will he plant?
Corn: 40 acres, Wheat: 20 acres, Soybeans: 60 acres
Corn: 26.67 acres, Wheat: 13.33 acres, Soybeans: 80 acres
Corn: 20 acres, Wheat: 10 acres, Soybeans: 90 acres
Corn: 30 acres, Wheat: 15 acres, Soybeans: 75 acres
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is organizing a field trip for three grades: 8th, 9th, and 10th. The total number of students going is 150. If there are twice as many 9th graders as 8th graders and three times as many 10th graders as 9th graders, how many students from each grade are attending?
{"8th": 16, "9th": 32, "10th": 96}
8th: 15, 9th: 25, 10th: 110
8th: 20, 9th: 40, 10th: 90
8th: 10, 9th: 30, 10th: 110
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A toy store sells three types of toys: dolls, cars, and puzzles. The total revenue from selling these toys is $500. If dolls sell for $10 each, cars for $15 each, and puzzles for $5 each, and the store sells twice as many dolls as cars and three times as many puzzles as dolls, how many of each toy did they sell?
10 dolls, 5 cars, 30 puzzles
8 dolls, 4 cars, 20 puzzles
12 dolls, 6 cars, 25 puzzles
5 dolls, 10 cars, 15 puzzles
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a bakery, three types of pastries are made: croissants, muffins, and scones. The total number of pastries made is 200. If the number of croissants is three times the number of muffins and the number of scones is 50 less than the number of croissants, how many of each type of pastry were made?
Muffins: 50, Croissants: 100, Scones: 50
Muffins: 30, Croissants: 90, Scones: 70
Muffins: 35, Croissants: 105, Scones: 55
Muffins: 40, Croissants: 120, Scones: 60
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert has three ticket types: VIP, regular, and student. The total number of tickets sold is 300. If there are twice as many regular tickets as VIP tickets and three times as many student tickets as regular tickets, how many tickets of each type were sold?
VIP: 30, Regular: 60, Student: 180
VIP: 60, Regular: 120, Student: 180
VIP: 20, Regular: 40, Student: 240
VIP: 50, Regular: 100, Student: 150
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bookstore has three sections: fiction, non-fiction, and children's books. The total number of books is 600. If there are twice as many fiction books as non-fiction books and three times as many children's books as fiction books, how many books are in each section?
Non-fiction: 100, Fiction: 200, Children's: 300
Non-fiction: 50, Fiction: 100, Children's: 450
Non-fiction: 67, Fiction: 134, Children's: 399
Non-fiction: 80, Fiction: 160, Children's: 360
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym offers three types of memberships: basic, premium, and family. The total number of memberships sold is 250. If there are twice as many premium memberships as basic memberships and three times as many family memberships as premium memberships, how many memberships of each type were sold?
30 basic, 60 premium, 160 family
28 basic, 56 premium, 166 family
40 basic, 80 premium, 130 family
25 basic, 50 premium, 175 family
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