__TANK PROBLEM __:
One pipe can fill a tank in 15 minutes, another pipe can fill
it in 20 minutes, a third pipe 30 minutes. With all three pipes
open, how long will it take to fill the empty tank?

__CHICKEN MCNUGGET PROBLEM __:**McDonald's sells chicken
mcnuggets in boxes of 6, 9, and 20.**

**1. Is it possible to get exactly 17 mcnuggets? If yes, what
is the combination?**

**2. Can you get exactly 53 mcnuggets? If yes, what is the
combination?**

**3. What is the largest number of mcnuggets that is impossible
to get exactly? Show your work.**

**4. If the boxes were 7, 11, and 17, what is the largest
number of mcnuggets that is impossible to get exactly? Show your
work. **

__BIG TIRES __: An automobile was fitted at the factory
with 30 inch diameter tires. That means its speedometer is calibrated
for 30 inch diameter tires. If you replace all the tires with
31 inch diameter tires, how will this effect the speedometer readings?
1. If you drive with the speedometer at 55 mph, how fast are you
actually going? 2. At what speed would you have to drive to actually
travel at 55 mph?

__SQUARE PROBLEM __: The figure below is a rectangle
with a rectangular hole. The sides of the outer rectangular boundary
measures 9 cm by 12 cm. The inner rectangular measures 1 cm by
8 cm. Cut this figure along two paths that, fitted together, form
a complete square.

Extra Credit: Solve the problem above. Turn in all work with the solution. Please try to do your own work. If you work with someone else, please let me know. No work will be accepted once the solution is posted on this website. Occasionally, hints will be provided. Use these only if you need them. Keep checking back since hints could be posted anytime during the week.

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