Find a number whose half is equal to three times of some other number. (class – 4 student) ​

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1. Answer:

   2

   Step-by-step explanation:

   “Five (5) more than one-half the number n is 3 times the number n” can be translated mathematically into the following equation:

   (1/2)n + 5 = 3n

   n/2 + 5 = 3n

   First, clear the equation of fractions by multiplying both sides by the only explicit denominator, 2, as follows:

   2(n/2 + 5) = 2(3n)

   2(n/2) + 2(5) = 2(3n)

   (2/2)n + 10 = 6n

   (1)n + 10 = 6n

   n + 10 = 6n

   Now, subtract n from both sides in order to begin isolating n on the right side as follows:

   n – n + 10 = 6n – n

   0 + 10 = 5n

   10 = 5n

   Now, divide both sides by 5 as follows in order to isolate n and thus solve the equation for n:

   10/5 = (5n)/5

   10/5 = (5/5)n

   10/5 = (1)n

   2 = n

   CHECK:

   (1/2)n + 5 = 3n

   (1/2)(2) + 5 = 3(2)

   2/2 + 5 = 6

   1 + 5 = 6

   6 = 6

   Therefore, n = 2 is the desired number.

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