Solving Simultaneous Equations Word Problems Quiz

A farmer has a total of 40 animals on his farm. The animals are either chickens or cows. If the total number of legs of the animals is 100, how many chickens and how many cows does the farmer have?

• The farmer has 15 chickens and 25 cows.

• The farmer has 10 chickens and 30 cows.

• The farmer has 20 chickens and 20 cows.

• The farmer has 30 chickens and 10 cows.

Samantha bought 3 times as many apples as oranges. The total cost of the apples was $24 and the total cost of the oranges was $8. If the cost of each apple and each orange is the same, how many apples and how many oranges did Samantha buy?

• 3 apples and 1 orange

• 5 apples and 2 oranges

• 4 apples and 3 oranges

• 2 apples and 4 oranges

A car rental company charges $30 per day for a compact car and $50 per day for a luxury car. If a total of 5 cars were rented for a total cost of $190, how many of each type of car were rented?

• 3 compact cars and 2 luxury cars were rented.

• 2 compact cars and 3 luxury cars were rented.

• 4 compact cars and 1 luxury car were rented.

• 1 compact car and 4 luxury cars were rented.

A fruit vendor sells apples and oranges. The total number of fruits sold is 40 and the total cost is $140. If apples cost $4 each and oranges cost $3 each, how many apples and how many oranges did the vendor sell?

• The vendor sold 25 apples and 15 oranges.

• The vendor sold 20 apples and 20 oranges.

• The vendor sold 30 apples and 10 oranges.

• The vendor sold 15 apples and 25 oranges.

A school is organizing a field trip. The cost for a student is $20 and the cost for a teacher is $30. If a total of 63 people went on the trip for a total cost of $1290, how many students and how many teachers went on the trip?

• 20 students and 43 teachers went on the trip.

• 60 students and 3 teachers went on the trip.

• 43 students and 20 teachers went on the trip.

• 3 students and 60 teachers went on the trip.