Mrs. Lincoln budgets her monthly take-home pay. The remainder she deposits in her savings account. She budgets 1/3 of her take-home pay rent, 1/8 for car expenses, 1/6 for food, 1/24 for insurance and 1/16 for entertainment. What is Mrs. Lincoln's monthly take-home pay if she deposits $546 in her savings account? PLEASE help me and work it out please and thank you

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

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.

To find Mrs. Lincoln's monthly take-home pay, we need to add up the percentages that she budgets for different expenses and then subtract that total from the amount she deposits in her savings account.

Let's calculate the total percentage of Mrs. Lincoln's budgeted expenses:
Rent: 1/3 = 8/24
Car expenses: 1/8 = 3/24
Food: 1/6 = 4/24
Insurance: 1/24
Entertainment: 1/16 = 3/48

Now, let's add up these fractions:
Total expenses = (8/24) + (3/24) + (4/24) + (1/24) + (3/48)

We need to find a common denominator for these fractions, which is 48:
Total expenses = (32/48) + (9/48) + (16/48) + (2/48) + (3/48)

Now, let's add up the numerators:
Total expenses = (32 + 9 + 16 + 2 + 3)/48
Total expenses = 62/48

To find Mrs. Lincoln's monthly take-home pay, we subtract the total expenses from the amount she deposits in her savings account:
Take-home pay = Amount deposited in savings - Total expenses
Take-home pay = 546 - (62/48)

To simplify this calculation, we need to convert the fraction to a decimal:
Total expenses = 62/48 ≈ 1.292

Now, we can find the take-home pay:
Take-home pay ≈ 546 - 1.292
Take-home pay ≈ 544.708

So, Mrs. Lincoln's monthly take-home pay is approximately $544.708.

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?

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.