## Happy Flag Day!

A stand at a local parade is selling flags for observers to wave. The small flags each cost 2/3 the price of each large flags and each flag costs a whole number of dollars. If Frida bought 5 flags and spent $24.00, how much do each of the small flags cost in dollars?

Because the numbers are small, guess and check may be used to solve this one. If the large flags each cost $6 dollars, the small flags would each cost $4. To make sure this is feasible: $4 + $4 + $4 + $6 + $6 = $.24

## Pool Maintenance

Every Memorial Day weekend, Jay’s family fills up their pool for the summer season. Since Jay’s favorite subject is math, he decided to calculate how long it will take for the pool to fill. Jay times the water exiting their garden hose and figures out it’s flowing at a rate of 10 gallons per minute. Their rectangular pool is 16 feet long and 8 feet wide, and they fill the pool till the water is 4 feet deep. The last thing Jay needs for his calculation is the conversion between gallons and cubic feet. He searches on the internet and finds that 1 gallon is equal to 2/15 of a cubic foot.

## Go Team!

Now that our national competitors have been determined, teams are meeting to practice for next month’s competition. On the team round, working together is key. Grab yourself some fellow Mathletes^{®} and see if you can tackle a few team round problems from some of the 2017 competitions!

Raquel uses six different digits to fill in the blanks below, writing one digit in each blank, so that the resulting addition statement is correct. What is the least possible sum of the six digits?

__ __ + __ __ = __ __

## State Competitions

State competitions for 2017 are in full swing! Let’s see if we can hang with the state competitors by trying a few problems from the 2016 state competition.

A bag contains 4 blue, 5 green and 3 red marbles. How many green marbles must be added to the bag so that 75 percent of the marbles are green?

*[Sprint #7] *