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November 27, 2014

November 27, 2014

Posted by **Sadie** on Wednesday, February 15, 2012 at 9:49pm.

- Math -
**PsyDAG**, Thursday, February 16, 2012 at 9:23pmx - x/3 - x/8 - x/6 -x/24 - x/16 = 546

Solve for x by multiplying to get rid of the denominators first. Then combine terms.

- Math -
**Quang Tran**, Monday, January 28, 2013 at 4:15amx-x/3-x/8-x/6-x/24-x/16=546

Multiply both sides by 48 to clear fraction

48x-16x-6x-8x-2x-3x = 26208

Combine like terms

13x = 26208

To find x divide both sides by 13

x = 2,016

Mrs. Lincoln monthly take-home is $2,016

- Inequalities -
**Peter**, Monday, April 8, 2013 at 9:25pmBudgets her monthly take-home. The remainder she deposits in her savings account. she budgets 1/3 rent. 1/8 for car 1/6 food, 1/24 insurance. and 1/16 for entertainment, What is her monthly take-home pay if she deposits $546.00 in her savings account?

- Math -
**Jasmine**, Tuesday, November 4, 2014 at 9:22pmYou want to know what her take-home pay is.

1/3 goes to rent, 1/8 goes for her car, 1/6 goes to her food, 1/24 goes towards insurance, and 1/16 of the money is for entertainment.

1/3x represents 1/3 of her unknown amount of take-home payment. 1/8x represents 1/8 of her unknown amount of take-home pay and so on..

You have to add all the fractions together to find out the total of how much of her payment she spends on all these different activities.

1/3x+1/8x+1/6x+1/24x+1/16x

=35/48x

Now, we know that she spends 35/48 of her take-home pay on her activities.

She deposits $546.00 to her savings account.

So,

35/48x=x-$546

x represents the take-home pay. 35/48 of x(her take-home payment) is the amount she uses on her activities.

We have to subtract $546 from x to figure out the amount of money she earns because it tells you how much she deposited.

35/48x=1x-$546

-1x -1x

-13/48x=-$546

÷-13/48 ÷-13/48

x= -$546/1 × -48/13

x= 26208/13

x= 2016

Her monthly take-home pay is $2016.

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