Q: In Mr. Bolton's class of 25 students, 2/5 of the students like maths, 1/3 of the remaining students like science, and the rest of the students like history. Calculate the combined total number of students who like history and those who like maths.
A: If there are 25 students in the class, then 2 / 5 * 25 = 10 students like maths. The number of students who don't like math is 25 - 10 = 15 students. If 1 / 3 of the students that don't like math like science, then 1 / 3 * 15 = 5 students like science. The remaining number of students who enjoy history is 15 - 5 = 10. The combined total for the students who want history and maths is 10 + 10 = 20. The answer is 20.
Question: Tim decides to start selling necklaces he makes. He uses 10 charms to make each necklace. Each charm cost $15. He sells the necklace for $200. How much profit does he make if he sells 30?
Answer: Each necklace cost 10 * 15 = $150 to make. So he makes a profit of 200 - 150 = $50 each. So his total profit is 50 * 30 = $1500. The answer is 1500.
[Question]Bill thought he bought 70 chihuahuas, but some of them turned out to be rats. If the number of rats was 6 times the number of chihuahuas, how many rats did he buy?
[Answer]Let r be the number of rats and c be the number of real chihuahuas. We know that r + c = 70 and r = 6c. Substituting the second equation into the first equation, we get 6c + c = 70. Combining like terms, we get 7c = 70. Dividing both sides by 7, we get c = 10. Substituting this back into r = 6c, we get r = 10 * 6 = 60. The answer is 60.
Q: The school has 14 boys and 10 girls. If 4 boys and 3 girls drop out, how many boys and girls are left?
A: There are 14 boys - 4 boys = 10 boys left. There are 10 girls - 3 girls = 7 girls left. In total there are 10 boys + 7 girls = 17 boys and girls left. The answer is 17.
Question: Sophie does 4 loads of laundry a week and uses 1 dryer sheet per load. A box of dryer sheets costs $5.50 and has 104 dryer sheets in a box. On her birthday, she was given wool dryer balls to use instead of dryer sheets. How much money does she save in a year not buying dryer sheets?
Answer: She does 4 loads of laundry a week and used 1 dryer sheet per load for a total of 4 * 1 = 4 dryer sheets in a week. She used 4 dryer sheets per week for 52 weeks for a total of 4 * 52 = 208 dryer sheets. Her box of dryer sheets has 104 sheets so she needs 208 / 104 = 2 boxes of dryer sheets. Each box costs $5.50 and she used 2 boxes so she now saves 5.50 * 2 = $11.00 by not buying dryer sheets. The answer is 11.
Q: Linda's bag has 2 dimes, 6 quarters, and 5 nickels. Her mother gives her 2 more dimes, 10 quarters, and twice as many nickels as she has. How many coins does she have altogether?
A:
When Linda's mother gave her 2 more dimes, the total number of dimes increased to 2 + 2 = 4 dimes. She also increased the total number of quarters to 6 + 10 = 16 after her mother gave her 10 more. The total number of dimes and quarters she has is 16 + 4 = 20. Linda's mother also gave her twice as many nickels as she has, a total of 2 * 5 = 10 nickels. The total number of nickels she has increased to 10 + 5 = 15. Altogether, Linda has 20 + 15 = 35 coins. The answer is 35.