Final answer:
To find the total family income based on the pie chart percentages, we set up a proportion where 33% (sum of the percentages for savings, clothing, and entertainment) of the total income is equal to the allocated amount of $47,850. Solving this, we find that the total family income is $145,000.
Step-by-step explanation:
To determine the total family income based on the pie chart percentages given and the actual amount spent, we can use the following calculations. We are told that the combined amount budgeted for savings, clothing, and entertainment, which together account for 6% + 13% + 14% = 33% of the total income, is $47,850. We can set up a proportion where 33% of the total income is equal to $47,850 to determine the total income.
Let x represent the total annual income of the family. Our equation will be:
0.33 * x = $47,850
To find x, we divide both sides of the equation by 0.33:
x = $47,850 / 0.33
x = $145,000
Therefore, the total family income is $145,000.