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question:After going to Walmart, Wolfgang purchased 16 marbles, Ludo purchased 1/4 more marbles than Wolfgang, and Michael purchased 2/3 as many marbles as the combined number of marbles purchased by Wolfgang and Ludo. If they decided to combine their marbles and distribute them equally among themselves, how many marbles did each person receive?
answer:Wolfgang purchased 16 marbles. Ludo purchased 1/4 more marbles than Wolfgang, which is 1/4 * 16 = 4 more marbles. So Ludo purchased 16 + 4 = 20 marbles. The combined number of marbles purchased by Wolfgang and Ludo is 16 + 20 = 36 marbles. Michael purchased 2/3 as many marbles as the combined number of marbles purchased by Wolfgang and Ludo, which is 2/3 * 36 = 24 marbles. If they decided to combine their marbles and distribute them equally among themselves, they would have 16 + 20 + 24 = 60 marbles in total. And since there are 3 people, they would each receive 60 / 3 = 20 marbles. Therefore, each person would receive 20 marbles. 20 The answer is: 20
question:ley has 5 more necklaces than Jason. Josh has half the number of necklaces as Jason. If Haley has 25 necklaces, how many more necklaces does Haley have than Josh?
answer:If Haley has 5 more necklaces than Jason, and we know that Haley has 25 necklaces, then Jason has 25 - 5 = 20 necklaces. If Josh has half the number of necklaces as Jason, then Josh has 20 / 2 = 10 necklaces. To find out how many more necklaces Haley has than Josh, we subtract Josh's number of necklaces from Haley's number of necklaces: 25 - 10 = 15. Therefore, Haley has 15 more necklaces than Josh. 15 The answer is: 15
question:What is the area of the shaded region in the given diagram, where the smaller circles touch the larger circle and each other at the center of the larger circle? The radius of the larger circle is 6.
answer:The shaded region consists of a small circle with radius 3 and four quarter circles with radius 6. The area of the small circle is pi(3^2) = 9pi. The total area of the four quarter circles is 4left(frac{1}{4}pi(6^2)right) = 9pi. Therefore, the area of the shaded region is 9pi + 9pi = boxed{18pi}. The answer is: 18pi
question:f Tyrah has 12 pencils and she has six times as many pencils as Sarah, and Tim has eight times as many pencils as Sarah, how many pencils does Tim have?
answer:If Tyrah has 12 pencils and she has six times as many pencils as Sarah, then Sarah has 12/6 = 2 pencils. If Tim has eight times as many pencils as Sarah, then Tim has 2*8 = 16 pencils. Therefore, Tim has 16 pencils. 16 The answer is: 16