1998 CEMC Pascal Problems/Problem 3

Problem

The pie chart shows a percentage breakdown of $1000$ votes in a student election. How many votes did Sue receive?

An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.

$\text{ (A) }\ 550 \qquad\text{ (B) }\ 350 \qquad\text{ (C) }\ 330 \qquad\text{ (D) }\ 450 \qquad\text{ (E) }\ 935$

To find the number of votes that Sue got, we can find the percentage of votes that she got, and multiply that by the total number of votes overall.

We can find the percentage of votes that Sue got by subtracting the percentage of votes that came from other students from $100\%$ :

$100\% - (45\% + 20\%) = 100\% - 65\% = 35\%$

An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.

We then get that the number of votes that Sue got is $35\% \times 1000 = 0.35 \times 1000 = \boxed {\textbf {(B) } 350}$

~anabel.disher

To find the number of votes that Sue got, we can subtract the votes that the other students got, and subtract it from $1000$ .

Jim got $20\% \times 1000 = 0.20 \times 1000 = 200$ votes.

Jane got $45\% \times 1000 = 0.45 \times 1000 = 450$ votes.

Altogether, Jim and Jane got $200 + 450 = 650$ votes.

Subtracting this from the total, we find that Sue got $1000 - 650 = \boxed {\textbf {(B) } 350}$ votes.

~anabel.disher