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Alborosie
3 years ago
11

Supplies for last year cost $1,477, which was $177 over budget. Rounded to the nearest 1%, by what percent did the cost exceed t

he budgeted cost?
Mathematics
2 answers:
Scilla [17]3 years ago
6 0

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?

\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}

MA_775_DIABLO [31]3 years ago
6 0

Answer:

<em>The cost exceeded the budgeted cost by 14%</em>

Step-by-step explanation:

Supplies for last year cost $1,477, <u>which was $177 over budget</u>. So, the budgeted cost was:  (\$1477-\$177)=\$1300

Suppose, the cost of supplies exceeded the budgeted cost by  x\%

So, <u>the amount of exceeded cost</u> =1300\times x\%=1300\times \frac{x}{100}= 13x dollar.

Thus, the equation will be......

13x=177\\ \\ x=\frac{177}{13}=13.615... \approx 14

<em>(Rounded to the nearest 1%)</em>

So, the cost exceeded the budgeted cost by 14%

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