[Question]7 out of 40 people in a cafeteria are wearing checkered shirts. The rest of the people are wearing vertical stripes and horizontal stripes. The number of people wearing horizontal stripes is 4 times as many as the people wearing checkered shirts. How many people are wearing vertical stripes?
[Answer]40 people - 7 people = 33 people are wearing stripes. The number of people wearing horizontal stripes is 4 horizontal stripes / checkered shirt x 7 checkered shirts = 28 horizontal stripes. The number of people wearing vertical stripes is 33 total stripes - 28 horizontal stripes = 5 vertical stripes. The answer is 5.
Q: There are 9 boys and 12 girls in a class. The teacher needs to create groups with three members for their class activity. How many groups are formed?
A: There are 9 + 12 = 21 students in a class. Hence, 21 / 3 = 7 groups are formed. The answer is 7.
Question: Meghan had money in the following denomination: 2 $100 bills, 5 $50 bills, and 10 $10 bills. How much money did he have altogether?
Answer: Total value of $100 bills is 2 $100 = $200. Total value of $50 bills is 5 $50 = $250. Total value of $10 bills is 10 $10 = $100. Final total value is $200 + $250 + $100 = $550. The answer is 550.
[Question]There are 14 caterpillars on the tree. 4 more eggs hatch, and baby caterpillars climb out to munch on the leaves. 8 fat caterpillars leave the tree to cocoon themselves to be butterflies. How many caterpillars are left on the tree?
[Answer]With the new babies, there are 14 + 4 = 18 caterpillars. With the big caterpillars leaving, there are 18 - 8 = 10 caterpillars on the tree. The answer is 10.
Q: Ishmael, Ponce, and Jalen measured their weight and realized Ishmael was 20 pounds heavier than Ponce and that Ponce was 10 pounds lighter than Jalen. If Jalen weighed 160 pounds, calculate the average weight of the three?
A: Since Ponce weighs 10 pounds lighter than Jalen, he weighs 160 - 10 = 150 pounds. The sum of Jalen and Ponce's weight is 150 + 160 = 310 pounds. Ishmael is 20 pounds heavier than Ponce, meaning he weighs 150 + 20 = 170 pounds. The total weight of the three is 310 + 170 = 480 pounds. The average weight of the three is the total weight divided by their number, which totals 480 / 3 = 160 pounds. The answer is 160.
Question: James and Ali together own $250. If you know that James owns $40 more than Ali, then calculate the amount owned by James.
Answer:
Let X be the amount owned by James. The amount owned by Ali is X - $40. The total amount owned by both of them X + (X - $40) = $250. Combining like terms, we get X * 2 - $40 = $250. Adding $40 to both sides, we get X * 2 = $290. Dividing both sides by 2, we get X = $145. The answer is 145.