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Create a model and solve it. Five-sixths a number decreased by three is equal to five-eighths the number increased by 7.

User KFL
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1 Answer

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Final answer:

To solve the equation, we can create a model based on the given information. We can then solve the equation step by step to find the value of the number.

Step-by-step explanation:

To solve the problem, we can create a model based on the given information. Let's assume the number is represented by 'x'. According to the problem, we have the equation:

(5/6)x - 3 = (5/8)x + 7

Now, we can solve the equation step by step. First, let's eliminate the fractions by multiplying every term by the least common multiple of 6 and 8, which is 24:

24(5/6)x - 24(3) = 24(5/8)x + 24(7)

After simplifying, we get:

20x - 72 = 15x + 168

Next, we can simplify further by moving all the terms with 'x' to one side and the constant terms to the other side:

20x - 15x = 168 + 72

Simplifying this equation gives us:

5x = 240

Finally, we can solve for 'x' by dividing both sides of the equation by 5:

x = 48

Therefore, the number is 48.

User LiuXiMin
by
7.6k points
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