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question:f Mary purchased 5 boxes of drinks at 6 each and 10 boxes of pizzas at 14 each for her pizza party, and she paid a total of 200 for all the items, what is the amount of change that she received?
answer:Mary purchased 5 boxes of drinks at 6 each, so she spent 5 * 6 = 30 on drinks. She also purchased 10 boxes of pizzas at 14 each, so she spent 10 * 14 = 140 on pizzas. In total, Mary spent 30 + 140 = 170 on all the items. If she paid a total of 200, then she received 200 - 170 = 30 in change. The amount of change that she received is 30. 30 The answer is: 30
question:Jaclyn, Marcelle, Susanna, and Wanda are tutors in the math lab at their school. Their schedule is as follows: Jaclyn works on every third school day, Marcelle works on every fourth school day, Susanna works on every sixth school day, and Wanda works on every seventh school day. They are all working in the math lab today. How many school days will pass before they are all together tutoring in the lab again?
answer:We want to find the least common multiple (LCM) of 3, 4, 6, and 7. Prime factorizing each number, we have 3 = 3, 4 = 2^2, 6 = 2 cdot 3, and 7 = 7. Taking the highest power of each prime that appears, the LCM is 2^2 cdot 3 cdot 7 = boxed{84}. The answer is: 84
question:Archibald and his brother are playing tennis against each other. Archibald has won x games and his brother has won 18. What percentage of games has Archibald won? If we know the answer to the above question is 40, what is the value of unknown variable x?
answer:Archibald has won x games and his brother has won 18 games. The total number of games played is the sum of the games won by Archibald and his brother: x + 18. To find the percentage of games won by Archibald, we can calculate: (x / (x + 18)) * 100. We are given that the percentage of games won by Archibald is 40, so we can write: (x / (x + 18)) * 100 = 40. Dividing both sides by 100, we get: x / (x + 18) = 0.4. Multiplying both sides by (x + 18), we get: x = 0.4(x + 18). Expanding the right side, we get: x = 0.4x + 7.2. Subtracting 0.4x from both sides, we get: 0.6x = 7.2. Dividing both sides by 0.6, we get: x = 12. The value of x is 12. 12 The answer is: 12
question:The cost of five pencils and one pen is 2.50, and the cost of one pencil and two pens is 1.85. What is the cost of two pencils and one pen?
answer:Let p be the cost of a pencil and n be the cost of a pen. From the given information, we have the following equations: 5p + n = 2.50 and p + 2n = 1.85. We want to find the cost of two pencils and one pen, which is 2p + n. We can solve this system of equations by multiplying the second equation by 5 to get 5p + 10n = 9.25. Subtracting the first equation from this new equation, we get 9n = 6.75, so n = 0.75. Substituting this value back into the first equation, we can solve for p: 5p + 0.75 = 2.50, 5p = 1.75, p = 0.35. Finally, we can find the cost of two pencils and one pen: 2p + n = 2(0.35) + 0.75 = boxed{1.45}. The answer is: 1.45