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# Problems of the Week: September 7 - 11

Sep 12, 2020 | North Alpharetta

Lower Elementary:

Question: Michael’s soccer team is having a bake sale. They bake 2 each of 3 kinds of pie, then cut each pie into 8 slices. How many slices of pie can Michael’s soccer team sell at their bake sale?

Solution:  The team makes 2 × 3 = 6 pies. If each pie is cut into 8 slices, that’s 6 × 8 = 48 slices in total.

Upper Elementary:

Question: Katie is comparing the prices of 4 different pies. A cherry pie costs \$6.00. A chocolate cream pie costs \$11.00. A blueberry pie costs \$7.00. A peach pie costs the average price of all 4 of the pies. How much does the peach pie cost?

Solution:  If the average of all 4 pies is the same as the price of the peach pie, then the average of the first 3 pies must be equal to the price of the peach pie. To find the average price of the pies, we add the prices of the first 3 pies together, then divide by 3.

\$6.00 + \$11.00 + \$7.00 = \$24.00

\$24.00 ÷ 3 = \$8.00

Middle School:

QuestionDaniel orders a pumpkin pie from a bakery. The pie costs \$16.60. He tips the baker 15% rounded up to the next dollar. By how much money does Daniel round the tip?

Solution:  To find 15% of \$16.60, we multiply \$16.60 × 0.15 = \$2.49. If Daniel rounds up to the next dollar, he will round by \$3.00 – \$2.49 = \$0.51.

Algebra and Up:

Question: Soren and his family share a lemon meringue pie that weighs 2 pounds. Soren takes a slice whose angle measures 40°. How much does the remaining pie weigh?

Solution:  After Soren takes a 40° slice, there are 320° of pie left. That’s 320 ÷ 360 = 8/9 of the pie, and 8/9 of 2 pounds is 17/9 pounds of pie.

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