Question

Technical attributes to consumption function in detail....
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Answer 1

The answer to this question can be found by using algebra and arithmetic. Begin by translating the statement into a mathematical equation. The result is:

((x / 0.7) - 5.3) × 7 = 81.9, where x is the “particular number” in the statement.

To turn this equation into an equation that gives the numeric value of x, the steps are:

Remove the 7 from the left side of the equation by dividing both sides by 7. The steps to do this are:
(((x / 0.7) - 5.3) × 7) / 7 = 81.9 / 7
Regroup the 7’s, giving:
((x / 0.7) - 5.3) × (7 / 7) = 81.9 / 7.
Simplify the (7 / 7) to 1, giving:
((x / 0.7) - 5.3) × 1 = 81.9 / 7
Since for any y, y × 1 = y, we can remove the × 1, giving:
(x / 0.7) - 5.3 = 81.9 / 7
Remove the 5.3 from the left side of the equation by adding 5.3 to both sides and performing similar steps, using the rule y + 0 = y. This gives:
x / 0.7 = (81.9 / 7) + 5.3
Remove the 0.7 from the left side of the equation by multiplying both sides by 0.7 and performing similar steps, giving:
x = ((81.9 / 7) + 5.3) × 0.7
Reduce the expression on the right side of an equation to a single number:
81.9 / 7 = 11.7;
11.7 + 5.3 = 17.0;
17.0 × 0.7 = 11.9, giving:
x = 11.9
So, the answer to the question is 11.9 .

If desired, the answer can be checked by substituting 11.9 for x in the original equation, and reducing the left side of the equation to a single number:
11.9 / 0.7 = 17;
17 - 5.,3 = 11.7;
11.7 × 7 = 81.9.
Since this result equals the number on the right side of the equation, the answer is shown to be correct.