Respuesta :
so the cost was 1477, which is 177 over the budget, meaning the budget is 1477 - 177 or just 1300.
now, if we take 1300 to be the 100%, how much in percentage is 177, the overflown amount?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 1300&100\\ 177&p \end{array}\implies \cfrac{1300}{177}=\cfrac{100}{p}\implies 1300p=17700\implies p=\cfrac{17700}{1300} \\\\\\ p=\cfrac{177}{13}\implies p\approx 13.62\implies \stackrel{\textit{rounded up}}{p=14}[/tex]
Answer:
The cost exceeded the budgeted cost by 14%
Step-by-step explanation:
Supplies for last year cost $1,477, which was $177 over budget. So, the budgeted cost was: [tex](\$1477-\$177)=\$1300[/tex]
Suppose, the cost of supplies exceeded the budgeted cost by [tex]x\%[/tex]
So, the amount of exceeded cost [tex]=1300\times x\%=1300\times \frac{x}{100}= 13x[/tex] dollar.
Thus, the equation will be......
[tex]13x=177\\ \\ x=\frac{177}{13}=13.615... \approx 14[/tex]
(Rounded to the nearest 1%)
So, the cost exceeded the budgeted cost by 14%