A farmer has chickens and cows. If there are 50 animals in total and the number
Practice Questions
Q1
A farmer has chickens and cows. If there are 50 animals in total and the number of cows is 10 more than the number of chickens, how many cows are there?
20
30
25
15
Questions & Step-by-Step Solutions
A farmer has chickens and cows. If there are 50 animals in total and the number of cows is 10 more than the number of chickens, how many cows are there?
Step 1: Let the number of chickens be represented by the letter 'x'.
Step 2: Since the number of cows is 10 more than the number of chickens, we can represent the number of cows as 'x + 10'.
Step 3: We know that the total number of animals (chickens + cows) is 50. So we can write the equation: x + (x + 10) = 50.
Step 4: Simplify the equation: Combine like terms to get 2x + 10 = 50.
Step 5: To isolate '2x', subtract 10 from both sides of the equation: 2x = 50 - 10, which simplifies to 2x = 40.
Step 6: Now, divide both sides by 2 to solve for 'x': x = 40 / 2, which gives x = 20.
Step 7: Since 'x' represents the number of chickens, we have 20 chickens.
Step 8: To find the number of cows, use the equation for cows: cows = x + 10 = 20 + 10, which equals 30.
Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem involving relationships between quantities.
Word Problem Interpretation – The question assesses the skill of translating a real-world scenario into a mathematical model.
