a small business owner has a monthly budget of $16,85 and divides it like this: marketing: 2/5 of the…

a small business owner has a monthly budget of $16,85 and divides it like this: marketing: 2/5 of the budget, rent: 1/5 of the budget, utilities: 1/4 of the budget. the rest of the budget is saved for other expenses. how much money is left for other expenses each month? round the answer to two decimal places.

a small business owner has a monthly budget of $16,85 and divides it like this: marketing: 2/5 of the budget, rent: 1/5 of the budget, utilities: 1/4 of the budget. the rest of the budget is saved for other expenses. how much money is left for other expenses each month? round the answer to two decimal places.

Answer

Explanation:

Step1: Find the total fraction of budget spent

First, find the sum of the fractions spent on marketing, rent, and utilities. The fractions are $\frac{2}{5}$ (marketing), $\frac{1}{5}$ (rent), and $\frac{1}{4}$ (utilities). We need a common - denominator, which is 20. So, $\frac{2}{5}=\frac{2\times4}{5\times4}=\frac{8}{20}$, $\frac{1}{5}=\frac{1\times4}{5\times4}=\frac{4}{20}$, and $\frac{1}{4}=\frac{1\times5}{4\times5}=\frac{5}{20}$. The sum is $\frac{8 + 4+5}{20}=\frac{17}{20}$.

Step2: Find the fraction of budget left

The total budget is considered as 1 (or $\frac{20}{20}$). The fraction of the budget left is $1-\frac{17}{20}=\frac{20 - 17}{20}=\frac{3}{20}$.

Step3: Calculate the amount of money left

The total monthly budget is $1685$. The amount of money left is $\frac{3}{20}\times1685=\frac{3\times1685}{20}=\frac{5055}{20}=252.75$.

Answer:

$252.75$