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How do I translate and solve five times the sum of 6 and some number is 20

User Bolt UIX
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1 Answer

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Step-by-step explanation:

First we need to convert the sentence to an algebraic expression

We will break down the parts to do so:

sum of 6 and some number

let the number = n

sum means we will be adding 6 to the number

So, sum of 6 and some number = 6 + n

5 times the sum: this means we will multiply the sum we got above by 5

5 times then sum of 6 and some number = 5(6 + n)

five times the sum of 6 and some number is 20:

This means the multiplication of the sum by 5 equals to 20

So, the final algebraic expression:

5(6 + n) = 20

Next, we will solve for the unknown number which is n in this case:

5(6 + n) = 20

expand the parenthesis:

5(6) + 5(n) = 20

30 + 5n = 20

subtract 30 from both sides:

30 - 30 + 5n = 20 - 30

5n = -10

divide both sides by 5:

5n/5 = -10/5

n = -2

Hence, the unknown number is -2

User Capt Otis
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