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?

   Hint (a):

   Try constructing a proportion to solve this problem. What portion of $135$ is $27$? Your answer should be this same portion of $1000$.

   Answer (a):

   $200$ candies

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

   Hint (b):

   As in part (a), you can set up $3$ different proportions to answer the $3$ parts of this question. Or you could find the cost of a single calculator and use this to find the price of $100$, $1000$, and $500$ calculators.