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question:The school is organizing a trip to the museum. 4 buses were hired to take the children and teachers to their destination. The second bus has twice the number of people on it as the first bus. The third bus has 6 fewer people than the second bus. The fourth bus has 9 more people than the first bus. If the first bus has 12 people, how many people are going to the museum in total?
answer:The second bus has twice the number of people as the first bus, so it has 2 * 12 = 24 people. The third bus has 6 fewer people than the second bus, so it has 24 - 6 = 18 people. The fourth bus has 9 more people than the first bus, so it has 12 + 9 = 21 people. In total, there are 12 + 24 + 18 + 21 = 75 people going to the museum. 75 The answer is: 75
question:f Cassandra purchased four dozen Granny Smith apples and used them to make four apple pies, and each pie was cut into six large pieces, how many apples are there in each slice of pie?
answer:Four dozen apples is equal to 4 x 12 = 48 apples. If Cassandra used 48 apples to make four apple pies, then each pie would have 48/4 = 12 apples. If each pie is cut into six large pieces, then each slice of pie would have 12/6 = 2 apples. Therefore, there are 2 apples in each slice of pie. 2 The answer is: 2
question:Let p and q satisfy pq=9 and p+q=6. What is the value of p^2 + q^2?
answer:We can use the formula (p+q)^2 = p^2 + 2pq + q^2 to expand (p+q)^2 = (6)^2 = 36. Expanding p^2 + 2pq + q^2, we have p^2 + 2(9) + q^2 = p^2 + 18 + q^2. Since p+q=6, we can rewrite this as 36 = p^2 + 18 + q^2. Rearranging, we get p^2 + q^2 = 36 - 18 = boxed{18}. The answer is: 18
question:Diego baked 12 cakes for his sister's birthday. Donald also baked 4 cakes, but ate x while waiting for the party to start. There are 15 cakes left. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of cakes Donald ate. Let's break down the information given: Number of cakes baked by Diego: 12 Number of cakes baked by Donald: 4 Number of cakes left: 15 We can set up the equation as follows: Number of cakes baked by Diego + Number of cakes baked by Donald - Number of cakes Donald ate = Number of cakes left 12 + 4 - x = 15 Let's simplify and solve for x: 16 - x = 15 To isolate x, we subtract 16 from both sides of the equation: 16 - x - 16 = 15 - 16 -x = -1 Finally, we multiply both sides of the equation by -1 to solve for x: x = 1 The value of x is 1. 1 The answer is: 1