Question: Allen is 25 years younger than his mother. In 3 years, the sum of their ages will be 41. What is the present age of Allen's mother?
Answer: In 3 years, the sum of their present ages will be added by 3 (from Allen) + 3 (from her mother) = 6. So, the sum of their present ages is 41 - 6 = 35. Let x be the present age of Allen's mother and x - 25 be the present age of Allen. So the equation using the sum of their present ages is x + x - 25 = 35. By combining like terms, the equation becomes 2x = 60. Hence, Allen's mother is x = 60 / 2 = 30 years old now. The answer is 30.

Question: Alice made 52 friendship bracelets over spring break to sell at school. It only cost her $3.00 in materials to make these bracelets. During the break, she gave 8 of her bracelets away. Back at school, she sells all of the remaining bracelets at $0.25 each. How much profit did she make (money earned after paying initial costs) on the sale of her bracelets?
Answer: She made 52 bracelets but gave 8 away so she had 50 - 8 = 44 bracelets left. She sold 44 bracelets at $0.25 each for a total of 44 * .25 = $11.00. She made $11.00 but she spent $3.00 on the supplies. So her profit would be 11 - 3 = $8.00. The answer is 8.

Question: Apollo pulls the sun across the sky every night. Once a month, his fiery chariot’s wheels need to be replaced. He trades golden apples to Hephaestus the blacksmith to get Hephaestus to make him new wheels. Hephaestus raised his rates halfway through the year and now demands twice as many golden apples as before. He charged three golden apples for the first six months. How many golden apples does Apollo have to pay for the entire year of chariot wheels?
Answer: Apollo had to pay 3 * 6 = 18 golden apples for the first six months. For the second six months, he had to pay twice that amount, or 18 * 2 = 36 golden apples. Thus, Apollo had to pay 18 + 36 = 54 golden apples for a year of chariot wheels. The answer is 54.

Question: Hanna has twice as many erasers as Rachel. Rachel has three less than one-half as many erasers as Tanya has red erasers. If Tanya has 20 erasers, and half of them are red, how many erasers does Hanna have?
Answer:
Half of Tanya's 20 erasers are red, so she has 20 / 2 = 10 red erasers. One - half as many erasers as Tanya has red erasers is 10 / 2 = 5 red erasers. Rachel's three less than one - half as many erasers as Tanya's red erasers, which is 5 - 3 = 2 erasers. Hanna has twice as many erasers as Rachel, for a total of 2 * 2 = 4 erasers. The answer is 4.