Question

If 3.4 times a quarter of a value is equal to four and a half more than that value, what is the value?

a) 8
b) 10
c) 12
d) 14

Answer 1

To solve the problem, set up an equation where 3.4 times a quarter of the value is equal to the value plus 4.5. Solve for the value and determine that it is -30, which is not one of the given options.

Step-by-step explanation:

To solve this problem, let's break it down step by step:

1. Let's say the value we're looking for is x.
2. According to the problem, 3.4 times a quarter of x is equal to four and a half more than x. Mathematically, we can write this as: 3.4 * (1/4)x = x + 4.5.
3. To solve this equation, we can first distribute the 3.4, which gives us: 0.85x = x + 4.5.
4. Next, we can subtract x from both sides to isolate the x term: 0.85x - x = 4.5.
5. Simplifying this, we get: -0.15x = 4.5.
6. Finally, we can divide both sides by -0.15 to solve for x: x = 4.5 / -0.15 = -30.

Since none of the given options (-30, 8, 10, 12, 14) match the value we found, the correct answer is None of the Above.

Answer 2

The value is 30.

Step-by-step explanation:

To solve this problem, we can translate the information into an equation. Let's represent the value as x.

According to the given information, 3.4 times a quarter of the value is equal to four and a half more than that value. We can write this as:

3.4(x/4) = x + 4.5

To simplify, we can multiply both sides of the equation by 4 to get:

3.4x = 4(x + 4.5)

Expanding the equation gives:

3.4x = 4x + 18

Subtracting 4x from both sides of the equation gives:

0.6x = 18

Dividing both sides of the equation by 0.6 gives:

x = 18/0.6

x = 30

Therefore, the value is 30.