Challenge Problems( Week 50 Practice) 1. There are 5 colors for all my crayons. All my crayons are yellow except 12. All my crayons are either green or gray except 7. All my crayons are either red or blue except 9. How many crayons do I have? 2. Nick sells shoes to make a living. One day, a customer came to buy a pair of shoes with a $50 bill. The cost of a pair of shoes was $37, and and the price was $41. Nick had no change at the time, so he exchanged the $50 bill for 50 one-dollar bills with Alice. The customer took the shoes and $9 of change. Later, Alice found that the $50 bill Nick exchanged with her is a counterfeit bill, so Nick had to pay back the money to Alice. How much (in dollars) did Nick lose in the sale? 3. Bubble sort is a simple sorting algorithm that works by repeatedly stepping through the list to be sorted, comparing each pair of adjacent items and swapping them if they are in the wrong order. The pass through the list is repeated until no swaps are needed, which indicates that the list is sorted. The algorithm gets its name from the way smaller elements "bubble" to the top of the list.The sequence of the following numbers [9, 6, 7, 8, 5] if sorted by bubble sort into the order from smallest to biggest. How many swaps will happen during the sorting? 4. The weight of a glass bowl half filled with water is 60 ounces. If the bowl is full, the total weight of the bowl and water is 86 ounces. What is the weight of the bowl (in ounces)? 5. There are a total of 33 bicycles and tricycles with a total of 83 wheels. How many tricycles are there? |