2009 CEMC Pascal Problems/Problem 3

Problem

The cost of $1$ piece of gum is $1$ cent. What is the cost of $1000$ pieces of gum?

$\text{ (A) }\ $0.01 \qquad\text{ (B) }\ $0.10 \qquad\text{ (C) }\ $1.00 \qquad\text{ (D) }\ $10.00 \qquad\text{ (E) }\ $100.00$

Solution 1

Converting the price per piece of gum to dollars, we have $1$ cent is $$0.01$.

Multiplying this by $1000$ to get the cost of $1000$ pieces of gum, we have:

$$0.01 \times 1000 = \boxed {\textbf {(D) } $10.00}$

~anabel.disher

Solution 2

Multiplying the price by $1000$ to get the cost of $1000$ pieces of gum, we have:

$1 \times 1000 = 1000$ cents

However, the question is asking for the price in dollars, so we have to convert from cents to dollars:

$\frac{1000}{100} = \boxed {\textbf {(D) } $10.00}$

~anabel.disher