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? Give the rationale and then the answer.
Let's think step by step. 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.

Debra is the host of a country music radio show, and she broadcasts interviews with celebrity country music singers. Each week, she interviews three singers, one at a time. The first interview segment is always twice as long as the other two segments combined, and the third interview segment is always half as long as the second. If the third segment is 10 minutes long, how many minutes long is the entire show? Give the rationale and then the answer.
Let's think step by step. If the third segment is half as long as the second, then the second segment is twice as long as the third, or 10 * 2 = 20 minutes long. The first segment is twice as long as the other two combined, or 2 * (10 + 20) = 60 minutes. Thus, in total, the show is 10 + 20 + 60 = 90 minutes long.. The answer is: 90.

A couple's wedding reception had 180 people. The bride and groom had each invited 20 couples from their side of the family. The remaining guests were friends. How many friends attended the reception? Give the rationale and then the answer.

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Let's think step by step. From the bride's side, 20 couples * 2 guests / couple = 40 guests attended. From the groom's side, 20 couples * 2 guests / couple = 40 guests attended. Therefore 180 guests - (40 guests + 40 guests) = 100 friends attended the reception.. The answer is: 100.