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Problem of the Week 06-12-2017

Jun 12, 2017

Lower Elementary:

Answer:  55 players

Solution:  Instead of adding each position individually, we can find the number of players on each team first. There are 1 + 4 + 4 + 2 = 11 players on each soccer team. So, on 5 teams, there are 11 × 5 = 55 players!

 

Upper Elementary:

Answer:  Arianna hits 21 golf balls.

Solution:  Jayce has the odd numbered turns and Arianna has the even numbered turns. Since 12 is an even number, Arianna must have the 12th turn. By the 12th turn, only 11 (not 12) golf balls have gotten lost because the balls get lost at the end of the turn. So, Arianna hits 32 – 11 = 21 golf balls.

 

Middle School:

Answer:  7/9

Solution:  Since Michael’s average goes up by .030, Chad’s must go down by .030 to .210. Next, we can find out what fractional part Chad’s batting average is of Michael’s by dividing .210 by .270. First, we multiply both numbers by 100 to get 21/27, then we can reduce the fraction to 7/9.

 

Algebra and Up:

Answer:   Magenta reaches the ball 0.8 seconds before Tavia.

Solution:  If Magenta runs 2.5 meters per second, then it takes her 28 meters ÷ 2.5 = 11.2 seconds to reach the ball. Tavia reaches the ball in 33 ÷ 2.75 = 12 seconds. This means that Magenta got there 12 – 11.2 = 0.8 seconds before Tavia.