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Cup Stacking Systems
Part I
Look at these cups:
Show your work for each of the following questions!
Which will be taller after stacking three cups? (Get a ruler and measure!)
Which will be taller after one hundred cups? (Create equations for height vs. number of cups.)
How many cups does it take stack A to rise above stack B?
Part II
If the red cups starts on the desk and the Styrofoam cups start on the floor, is there a number of cups (same for both) where the two stacks will be at the same height? What is this height?
Test it out!
Part III
Jamie and Jordan are going to the Carp Fair! Jordan is paying $13 to get in plus $2.50 per ride. Jamie got a deal so she only paid $5 to get in but her ride tickets are $3 each. Who has the better deal? Sketch both relationships and state the y-intercepts and slopes. What do they represent?
Part IV
a) Jamie bought 3 raffle tickets and 1 ticket for the petting zoo for $9.00. Jordan bought 5 raffle tickets and 1 ticket for the petting zoo for $13.00. How much does 1 raffle ticket cost? How much does 1 ticket for the petting zoo cost?
b) Jamie bought 2 hot dogs and 3 hamburgers for her family, for $19.00. Jordan bought 5 hot dogs and 6 hamburgers for her family, for $40.75. How much does 1 hot dog cost? How much does 1 hamburger cost?
c) Jamie bought 13 mini-doughnuts and 3 drinks for $8.50. Jordan bought 18 mini-doughnuts and 4 drinks for $11.50. How much does 1 mini-doughnut cost? How much does 1 drink cost?
Part V – Extra Problems
1. Jack has 34 bills in fives and twos (yes, we used to have two dollar bills). The total value of these bills is $116. How many two dollar bills does he have?
2. A candy machine contained 132 coins in dimes and quarters. The value of the coins was $21.30. How many quarters were there?
3. The athletic department bought a total of 29 basketballs and footballs at a cost of $1000. If basketballs cost $30 each and footballs $40 each, how many footballs were bought?