A certain number is multipled by2 and 4 is added to it. Then, itis multiplied by 3 and divided by 14.The result is 1.Find the number
Thank you
Please show me how to solve it and the answer
(2n + 4) 3/14
= 2 n(3/14) + 12/14
= 1
so
6 n + 12 = 14
6 n = 2
n = 1/3
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check
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2 * 1/3 = 2/3
2/3 + 4 = 2/3 + 12/3 = 14/3
14/3 * 3 = 14
and sure enough 14/14 = 1
To find the number in this scenario, we can work backward from the given result of 1.
Let's start by simplifying the expression:
1 = ((2x + 4) * 3) / 14
Multiply both sides of the equation by 14 to eliminate the division:
14 = (2x + 4) * 3
Now divide both sides of the equation by 3:
14/3 = 2x + 4
Subtract 4 from both sides of the equation:
14/3 - 4 = 2x
To simplify the left side, we can convert the fraction 14/3 to a mixed number:
14/3 - 12/3 = 2x
2/3 = 2x
Now divide both sides of the equation by 2:
(2/3) / 2 = x
Simplify the left side of the equation:
1/3 = x
Therefore, the number being referred to in the scenario is 1/3.