A person bought 3 pens and 2 notebooks for $15. If each pen costs $2, what is th

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Question: A person bought 3 pens and 2 notebooks for $15. If each pen costs $2, what is the cost of each notebook?

Options:

Correct Answer: $4

Solution:

Cost of 3 pens = 3 × 2 = 6. Let the cost of each notebook be x. Then 6 + 2x = 15, leading to 2x = 9, so x = 4.

A person bought 3 pens and 2 notebooks for $15. If each pen costs $2, what is the cost of each notebook?

A person bought 3 pens and 2 notebooks for $15. If each pen costs $2, what is the cost of each notebook?

Step 1: Find the total cost of the pens. Each pen costs $2, and the person bought 3 pens. So, calculate 3 times 2.
Step 2: Calculate the total cost of the pens: 3 × 2 = 6. This means the pens cost $6 in total.
Step 3: Let the cost of each notebook be represented by 'x'. The person bought 2 notebooks, so the total cost for the notebooks is 2 times x, which is 2x.
Step 4: Add the total cost of the pens and the total cost of the notebooks. This gives us the equation: 6 + 2x = 15.
Step 5: To find the value of 2x, subtract 6 from both sides of the equation: 2x = 15 - 6.
Step 6: Calculate 15 - 6, which equals 9. Now we have 2x = 9.
Step 7: To find the value of x, divide both sides of the equation by 2: x = 9 / 2.
Step 8: Calculate 9 divided by 2, which equals 4.5. Therefore, the cost of each notebook is $4.50.

Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on a word problem.
Cost Calculation – It involves calculating total costs based on unit prices and quantities.