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

2-102.
1. Use proportional reasoning to solve the following problems. Homework Help ✎

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?

2. Ten calculators cost $149.50. How much would 100 cost? 1000? 500? 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 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 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 Use the strategy seen in part (a).