### Home > AC > Chapter 2 > Lesson 2.2.2 > Problem2-102

2-102.

Use proportional reasoning to solve the following problems.

1. A typical small bag of colored candies has about $135$ candies in it, $27$ of which are blue. At this rate, how many blue candies would you expect in a pile of $1000$ colored candies?

Use proportions to set up the problem.

$\frac{27\text{ blue}}{135\text{total}} = \frac{n}{1000\text{ total}}$

$27\cdot 1000=135 \cdot n$

$\frac{27000}{135}=\frac{135n}{135}$

$n=200$

2. Ten calculators cost $\149.50$. How much would $100$ cost? $1000$? $500$?

Use proportions to set up the problem.

$\frac{10}{149.50}=\frac{100}{n}$

Multiply by a fraction equal to $1$ in order to make the equivalent proportions have exactly similar numbers.

$\frac{10}{149.50}\cdot \frac{10}{10}=\frac{100}{n}$

Solve for $n$ by multiplying $149.50$ by $10$.

$n=\1495$

3. Tickets to $50$ home baseball games would cost $\1137.50$. How much would it cost to get tickets for all $81$ home games? How many games could you go to for $\728$?

Use the strategy seen in part (a).