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)=(19)/(100)(52,200) \\ =9918 \end{gathered}`

Then, the cost of outside food annually is,

`\begin{gathered} c(o)=(30)/(100)c(f) \\ =(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)=(c(o))/(52) \\ =(2975.4)/(52) \\ =57.22 \end{gathered}`

Hence, option (c) is the correct answer.