Question

The graph in the figure below shows the monthly stable expenses for Samantha's horse. If she spends $\$350$ for feed and board, how much does she spend on veterinary bills?

(a) \[\$200\]
(b) \[\$250\]
(c) \[\$275\]
(d) \[\$325\]
(e) \[\$375\]

Answer 1

Hint: To find the amount she spent on veterinary bills, firstly, we have to find the total stable expenses. The dollars spent on the feed and board will be equal to the percentage of feed and board expense. We will write this mathematically as $\$350=35\%$ .Similarly, the total dollars spent will be equal to the percentage of total expense. We will assume the total dollars spent as d. From the pie chart, the percentage of total expense will be the sum of the individual expenses. We will get an equation in terms of d. Then, we will cross multiply the above two equations and find the value of d. The amount spent on veterinary bills will be the product of percentage of the amount spent on veterinary bills and the total expense.

Complete step by step answer:
We are given a pie chart of the monthly stable expenses for Samantha's horse. We have to find the amount she spent on veterinary bills. Firstly, we have to find the total stable expenses. We are given that Samantha spent \[\$350\] for feed and board. From the pie chart, we can see that the percentage of feed and board expenses is 35%. The dollars spent on the feed and board will be equal to the percentage of feed and board expense. We can write this mathematically as
$\$350=35\%$
Therefore, the total dollars spent will be equal to the percentage of total expense. Let us assume the total dollars spent as d. From the pie chart, the percentage of total expense will be the sum of the individual expenses.
Percentage of total expense $=5\%+25\%+15\%+20\%+35\%=100\%$
Therefore, we can write $d=100\%$
We have
 $\begin{align}
  &\$ 350=35\% \\
 & d=100\% \\
\end{align}$
Now, we have to cross multiply the above equations.
$\begin{align}
  & \Rightarrow 350\times 100=35d \\
 & \Rightarrow 35000=35d \\
\end{align}$
Let us take the coefficient of d to the LHS.
$\begin{align}
  & \Rightarrow \dfrac{35000}{35}=d \\
 & \Rightarrow d=\$1000\\\end{align}$
Therefore, the total expense will be $\$1000$ .
Now, we have to find the amount spent on veterinary bills. For this, we will multiply the percentage of the amount spent on veterinary bills by the total expense.
Amount spent on veterinary bills $=25\%\times 1000$
Let us convert 25% into its number form by dividing it by 100.
$\Rightarrow $ Amount spent on veterinary bills $=\dfrac{25}{100}\times 1000$
We have to cancel the zeroes from the numerator and the denominator.
$\Rightarrow $ Amount spent on veterinary bills \[=\dfrac{25}{1\require{cancel}\cancel{0}\require{cancel}\cancel{0}}\times 10\require{cancel}\cancel{0}\require{cancel}\cancel{0}\]
$\Rightarrow $ Amount spent on veterinary bills \[=25\times 10=\$250\]

So, the correct answer is “Option b”.

Note: Students must read the pie chart carefully. A pie chart is a type of graph that represents the data in the circular graph. They must know to cross multiply two expressions. Students must know how to convert a number into its percentage and vice-versa. The former is done by multiplying the number by 100.