Thanksgiving Problem Set

Want to test your math skills and get into the Thanksgiving spirit? Try our Thanksgiving word problems!

Lower Elementary:

Question: At a Thanksgiving dinner, 6 relatives are visiting from Nevada, 7 relatives are visiting from California, and 4 relatives are visiting from Arizona. How many total relatives are visiting?

Answer: 17 relatives

Solution: To find the number of relatives visiting, we need to add the members visiting from the different states. So, we need to add 6 + 7 + 4. Notice that if we add 6 + 4 first, we would get 10. So, 6 + 7 + 4 = 10 + 7 = 17. There are 17 relatives visiting.

Upper Elementary:

Question: The Morgans had pumpkin pie for their Thanksgiving dessert. The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion. How much of the pie is left after the daughter ate her portion?

Answer: 1/8 of the pie

Solution: From the whole pie, the mom ate 1/4 of it. 1 – 1/4 = 3/4. There is 3/4 of the pie left after the mom ate her portion. The dad ate 2/3 of what was remaining. Breaking 3/4 into 3 equal parts, each part is equal to 1/4. If 1/3 of 3/4 is 1/4, then 2/3 of 3/4 is 2/4 = 1/2. So the dad ate 1/2 of the pie. This means that there is 3/4 – 1/2 = 1/4 of the pie left for the daughter. The daughter ate half of what was remaining. Half of 1/4 is 1/8. There is 1/8 of the pie left after the daughter ate her portion.

Middle School:

Question: Right before Thanksgiving, a turkey went on sale from $20 to $17. What was the amount of the discount?

Answer: 15%

Solution: To find the percent discount, find the difference between the original and sale price and divide by the original price. $20 – $17 = $3. Now, we have 3/20. Since percent means for each hundred, one way to find the percent is to make the denominator equal to 100. 3/20 = 15/100. So, the turkey is on sale at a 15% discount.

Algebra and Up:

Question: The Goldmans are playing a game of football after their Thanksgiving meal. Bob threw the football and its path can be traced by the function h(t) = –t² + 3t + 10 where t is the time from when Bob threw the football in seconds. At what time will the football hit the ground?

Answer: 5 seconds

Solution: To find when the football hits the ground, we need to set h(t) = 0.
0 = –t² + 3t + 10
Multiply both sides by –1.
0 = t² – 3t – 10
Factor the polynomial.
0 = (t – 5)(t + 2).
Set each factor equal to 0 and solve for t.
t – 5 = 0
t = 5
t + 2 = 0
t = –2
t = 5 and –2. It does not make sense that the ball hit the ground –2 seconds after Bob threw the ball, so that means the ball hits the ground 5 seconds after it was thrown.

August/September 2014 Newsflash: Math Muscle Challenge

Take the Math Muscle Challenge!

Grades 1 – 6: A racehorse can run a mile in 1 minute 40 seconds.  At that rate, how many seconds will it take the horse to run a half-furlong? (Hint – A furlong is 1/8 of a mile.)

Grades 6 and up: Brian is going on a road trip in his van. When he leaves the house, he has a half tank of gas. After driving for 4 hours, he used 80% of the gas in the tank. At that point he had 2 gallons of gas left. How many gallons of gas does the gas tank hold?

Answers to Last Math Muscle Challenge

Grades 1 – 6: 32 ducks

Grades 6 and up: 3366

Note: There are many ways to solve this problem. One way is to start by finding the second and third digit of the combination. As the problem stated, the first two digits are the same and adding them together produces the third digit. That means the third digit is actually twice as much as the second digit. We also know that the second and third digit form a perfect square whose square root is the fourth digit. Looking at the two-digit perfect roots 16, 25, 36, 49, 64, and 81, we see that there’s only one that has a third digit that’s twice as much as the second digit: 36. That means the first digit must also be a 3. Adding 3 and 3 does give 6. Now, we take the square root of 36 we get 6 so the fourth digit is also 6, which is the same as the third digit.

This means the combination is 3366.

June/July 2014 Newsflash: Math Muscle Challenge

Answers to last month's challenges:

Grades 1-6: $37.15
Grades 6 and up: 64 times larger

This month's problems:

Grades 1 - 6: 

Rick goes to the park each day and counts the number of ducks swimming on the pond. On Sunday he counts 1 duck. On Monday he counts 2 ducks. On Tuesday he counts 4 ducks.  On Wednesday he counts 8 ducks. If this pattern continues, how many ducks will Rick count on Friday?

Grades 6 and up: 

Richard put an important document into a safe with a four digit numerical combination. In order for his partner Kevin to retrieve the document he must enter the correct combination. Richard told Kevin that the first two digits are identical and the last two digits are identical (XXYY). He also said the third digit is the sum of the first two digits and the last digit is the square root of the number formed by the middle two digits. What is the combination? (*Hint – The middle two digits together form a number that is a perfect square.)