Word Problem Wednesday: Dollars and Sense

By Mathnasium | September 30, 2020

Solutions

Lower Elementary:
Answer:  \$1.27Solution: 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:
Answer:  5 packs of cardsSolution: 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:
Answer:  A single colored pencilSolution: To find the price of each pencil, we divide the total cost of all the pencils by the number of pencils. Each pencil is worth \$24.00 ÷ 64 = 37½¢. Let’s compare to the price of a crayon, which is \$12.60 ÷ 36 = 35¢. Since 37½¢ > 35¢, the value of a colored pencil is greater than the value of a crayon.

Algebra and Up: