Question

The Henry family earns a disposable annual income of $52,200. They budget 19% of their income for food. If they spend 30% of their food budget eating out, how much dothey spend each week eating out?$55.35$56.87$57.22$58.01None of these choices are correct.

Answer 1

Given:

Income of family is, C = $52,200.

The percentage of amount for food is, f = 19%.

The percentage for outside food is, o = 30%.

The objective is to find the amount spend on outside food each week.

The cost spent for food annually is,

$\begin{gathered} c(f)=\frac{19}{100}(52,200) \\ =9918 \end{gathered}$

Then, the cost of outside food annually is,

$\begin{gathered} c(o)=\frac{30}{100}c(f) \\ =\frac{30}{100}\cdot9918 \\ =2975.4 \end{gathered}$

Since, 1 year = 52 weeks. Then, the amount spend for each week can be calculated as,

$\begin{gathered} c_w(o)=\frac{c(o)}{52} \\ =\frac{2975.4}{52} \\ =57.22 \end{gathered}$

Hence, option (c) is the correct answer.