# Thread: Basic Algebra Word Problems (I got a few)

1. ## Basic Algebra Word Problems (I got a few)

1. One-sixth of the sum of a certain number plus ten is equal to one-quarter of the number. What is it?

2. Find a number such that if it is multiplied by seven and eight is then added to the result, the new sum will be equal to eight times the original number.

thanks for ur help guys im doing this because I want to learn how to do it.

2. Originally Posted by NemesysEvolved
1. One-sixth of the sum of a certain number plus ten is equal to one-quarter of the number. What is it?
Call the number x. Then $\frac{x+10}{6} = \frac{x}{4}$

$\frac{x+10}{6} = \frac{x}{4}$ <-- Multiply both sides by 12.

$2(x + 10) = 3x$

$2x + 20 = 3x$

$20 = x$

So x = 20.

-Dan

3. Originally Posted by NemesysEvolved
2. Find a number such that if it is multiplied by seven and eight is then added to the result, the new sum will be equal to eight times the original number.
Call the number x. Then
$7x + 8 = 8x$

$x = 8$

-Dan

4. Originally Posted by NemesysEvolved
1. One-sixth of the sum of a certain number plus ten is equal to one-quarter of the number. What is it?

2. Find a number such that if it is multiplied by seven and eight is then added to the result, the new sum will be equal to eight times the original number.

thanks for ur help guys im doing this because I want to learn how to do it.
1. 1/6(x+10)=x/4

multiply by 24

4(x+10)=6x
4x+40=6x
remove 4x from both sides
40=2x
both sides divided by 2