Algebraic Expressions & Equations
Suppose Leif can rake his entire yard in 2.5 hours, while his younger sister, Autumn, can do it in 4 hours by herself. How many minutes will it take the two of them to rake the entire yard if they are working together, to the nearest whole number?
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?
Gerald is going mini golfing at Golf-O-Rama with his family. For his family of 5 to play it costs $34. They were charged for three student tickets and two adult tickets. If a student ticket costs 3/4 as much as an adult ticket costs, how much does one student ticket cost?
Old Faithful, a famous geyser in Yellowstone National Park, erupts approximately once every 77 minutes. (It used to erupt more frequently, but earthquakes have changed the geyser’s plumbing, so it’s not letting off a little steam as often as it used to.) Assuming that it spurts 8000 gallons of water each time, how many gallons will Old Faithful spurt in one year?
Memorial Day has always been the unofficial start of summer. Here are some problems about some things we love in hot weather!
Two local supermarkets sell watermelons grown at McDowell’s farm. But Biggy Market sells their watermelons for $3.99 each, regardless of size, whereas Harmless Trail Market sells their watermelons for $0.19 per pound. For what weight will a watermelon at Harmless Trail cost the same as any watermelon at Biggy? If the largest watermelon grown at McDowell’s farm weighs 18 pounds, at which place should you buy your watermelons?
May is National Bike Month, so here are a few problems related to bicycles.
While taxes are said to be one of only two things certain in life, this year demonstrates the actual date of Tax Day can be flexible. While we prepared for an April 15 Tax Day, rest assured that Tax Day 2020 has been postponed three months!
Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and gloves he purchased last spring, but he can’t remember the price of each item. Luis recalls making two purchases last spring, each totaling $135 and both tax exempt. The first purchase was for a glove and three bats. The second purchase was for two gloves and a bat.
During the month of February, the 2020 Chapter Competitions took place across the country. Let’s look back at a few of the problems our competitors encountered.