{ "question": "If Chester eats 3 eggs a day for 30 days and then increases it to 5 eggs a day for 30 days, how many dozens of eggs will Chester need for 60 days?", "answer": "He starts off eating 3 eggs a day for 30 days for a total of 3*30 = <<3*30=90>>90 eggs\nThen he increases it to 5 eggs a day for 30 days for a total of 5*30 = <<5*30=150>>150 eggs\nAll total he will eat 90+150 = <<90+150=240>>240 eggs\nThere are 12 eggs in 1 dozen and he will 240 eggs which is 240/12 = 20 dozen eggs\n#### 20", "id_orig": 1141, "id_shuffled": 99, "question_annotated": "If {name} eats {n1} eggs a day for {d1} days and then increases it to {n2} eggs a day for {d2} days, how many dozens of eggs will {name} need for {d3} days?\n\n#init:\n- name = sample(names)\n- $n1 = range(2, 6)\n- $n2 = range(4, 8)\n- $d1 = range(20, 110)\n- $d2 = range(20, 110)\n- $d3 = range(50, 200)\n\n#conditions:\n- d3 == d1 + d2\n- n2 > n1\n- divides(n1*d1 + n2*d2, 12)\n\n#answer: (n1*d1 + n2*d2) // 12", "answer_annotated": "He starts off eating {n1} eggs a day for {d1} days for a total of {n1}*{d1} = <<{n1}*{d1}={n1*d1}>>{n1*d1} eggs\nThen he increases it to {n2} eggs a day for {d2} days for a total of {n2}*{d2} = <<{n2}*{d2}={n2*d2}>>{n2*d2} eggs\nAll total he will eat {n1*d1}+{n2*d2} = <<{n1*d1}+{n2*d2}={n1*d1+n2*d2}>>{n1*d1+n2*d2} eggs\nThere are 12 eggs in 1 dozen and he will eat {n1*d1+n2*d2} eggs which is {n1*d1+n2*d2}/12 = {(n1*d1+n2*d2)//12} dozen eggs\n#### {(n1*d1+n2*d2)//12}" }