SOLUTION: If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multipled by 5 and 6 is added to the product.What is the number.

Question 500269: If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multipled by 5 and 6 is added to the product.What is the number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let n = "a number"
:
write an equation for exactly what it says
:
If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multipled by 5 and 6 is added to the product.
= 5n + 6
get rid of the denominator, mult both sides by 3
7n + 8 = 3(5n+ 6)
7n + 8 = 15n + 18
7n - 15n = 18 - 8
-8n = 10
n =
n = -1.25
:
Let's see if that works in the given statement
If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multiplied by 5 and 6 is added to the product.
= 5(-1.25) + 6
= -6.25 + 6
= -.25; confirms our solution of n = -1.25
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