Respuesta :
Given the word problem, we can deduce the following information:
1. Delia earns $28,500 per year.
2. She budgets 1/6 of this for food and 0.35 of this for housing expenses.
To determine the fraction of Delia's earnings left to budget for other items, we get first her exact budget for food and housing expenses as shown below:
Budget for Food:
[tex]\begin{gathered} Budget\text{ }for\text{ }Food=(\frac{1}{6})(28500) \\ =4750 \end{gathered}[/tex]Budget for Housing expenses:
[tex]Budget\text{ }for\text{ }Housing\text{ }expenses=(0.35)(28500)=9975[/tex]We compute the amount left to budget for other items:
Budget for other items= $28,500- $4750-$9975
Budget for other items= $ 13,775
Now, we compute for the fraction of her earnings:
[tex]Fraction\text{ }of\text{ }her\text{ }earnings=\frac{13775}{28500}=\frac{29}{60}[/tex]Therefore, the answer is 29/60.
