A number is divided by 4 and then increased by 6 to equal 10. What is the number

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Question: A number is divided by 4 and then increased by 6 to equal 10. What is the number?

Options:

Correct Answer: 8

Solution:

Let the number be x. The equation is x/4 + 6 = 10. Subtracting 6 from both sides gives x/4 = 4. Multiplying by 4 gives x = 16.

A number is divided by 4 and then increased by 6 to equal 10. What is the number?

A number is divided by 4 and then increased by 6 to equal 10. What is the number?

Step 1: Let the unknown number be represented by 'x'.
Step 2: According to the problem, when 'x' is divided by 4 and then increased by 6, it equals 10. We can write this as the equation: x/4 + 6 = 10.
Step 3: To solve for 'x', we first need to get rid of the +6. We do this by subtracting 6 from both sides of the equation. This gives us: x/4 = 10 - 6.
Step 4: Simplifying the right side, we find: x/4 = 4.
Step 5: Now, we need to get 'x' by itself. To do this, we multiply both sides of the equation by 4. This gives us: x = 4 * 4.
Step 6: Finally, we calculate the right side: x = 16.

Algebraic Manipulation – The question tests the ability to set up and solve a linear equation based on a word problem.
Order of Operations – Understanding the sequence of operations (division, addition) is crucial to correctly formulating the equation.