Solutions

Excellent job on today’s word problem! Are you ready to check your answer? Look below to see if your solution matches ours.

Lower Elementary:
Answer: the chocolate frog, the book, the wand
Solution: We can tell that each silver coin is worth less than a gold coin because it takes more of them to have the same value as a gold coin. The copper coins are worth even less because it takes even more of them. Since each object costs the same number of coins but the coins are worth different amounts, the object that is valued in gold coins is worth the most, the object valued in silver coins is in the middle, and the object valued in copper coins is worth the least.

Upper Elementary:
Answer: 90 miles per hour
Solution: Since 11:00 a.m. to 5:00 p.m. is 6 hours, the train takes 6 hours to get from London to the small town in Scotland. If we divide 540 miles by 6 hours, we get 90 miles per hour. So, the train’s average speed during its journey is 90 miles per hour.

Middle School:
Answer: 2¹⁄₂ feet
Solution: First, we convert centimeters to inches. There are 2.54 centimeters per inch, so 76.2 centimeters is 76.2 ÷ 2.54 = 30 inches. There are 12 inches in a foot, so 30 inches is 30 ÷ 12 = 2¹⁄₂ feet.

Algebra and Up:
Answer: 482 points
Solution: First, we set up a system of equations for the points scored by the Serpents, the Badgers, and the Eagles:
S = 1.25B + 32
B = ⁵⁄₆E – 3
S + B + E = 1,250
When we solve this system, we get S = 472, B = 352, and E = 426. Since S is the greatest value so far and we know that the Lions beat that score by 10 points, the Lions must have scored 472 + 10 = 482 points.