Posted by Sadie on Wednesday, February 15, 2012 at 9:49pm.
x - 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.
x-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
Budgets 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?
You 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.