# Problem of the Week May 7th

May 7, 2018 | Mesa North

Lower Elementary:

Question: Ellie breaks open her piggy bank and finds a half dollar, two quarters, two dimes, a nickel, and two pennies. How much money does Ellie have?

Upper Elementary:

Question: Packs of trading cards cost \$3.50. What is the greatest number of packs of trading cards that Kaylee can buy with a \$20.00 bill?

Middle School:

Question: Logan buys a box of 64 colored pencils for \$24.00 and a box of 36 crayons for \$12.60. Which costs more, a single colored pencil or a single crayon?

Algebra and Up:

Question: The value of a painting increases by 2% each year. If the painting is worth \$1,000.00 today, how much was it worth exactly 50 years ago?

Lower Elementary:

Question: Ellie breaks open her piggy bank and finds a half dollar, two quarters, two dimes, a nickel, and two pennies. How much money does Ellie have?

Solution: Ellie has 1 half dollar worth 50¢, 2 quarters worth 25¢ each, 2 dimes worth 10¢ each, 1 nickel worth 5¢, and 2 pennies worth 1¢ each. So, Ellie has 50¢ + 25¢ + 25¢ + 10¢ + 10¢ + 5¢ + 1¢ + 1¢ = 127¢. Since there are 100¢ in a dollar, that means Ellie has \$1 and 27¢, or \$1.27.

Upper Elementary:

Question: Packs of trading cards cost \$3.50. What is the greatest number of packs of trading cards that Kaylee can buy with a \$20.00 bill?

Solution: First, let’s estimate how many packs of cards Kaylee can buy by rounding; \$3.50 rounds up to \$4.00, and \$4.00 goes into \$20.00 five times. Let’s try it with the actual value of a pack of cards; \$3.50 × 5 = \$17.50. That means that if Kaylee buys 5 packs, she’ll have \$2.50 left, which isn’t enough to buy another pack of cards. So, Kaylee can buy 5 packs of cards at most.

Middle School:

Question: Logan buys a box of 64 colored pencils for \$24.00 and a box of 36 crayons for \$12.60. Which costs more, a single colored pencil or a single crayon?