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Emma had some chopsticks. If she bundles them into groups of nine, there will be five sticks short. If she bundles them into groups of eight, there will be four extra chopsticks. How many chopsticks does she have?
The number of stamps in Megan’s collection is more than 210 but less than 220. If she arranges them into groups of 36, 3 stamps will be left without a group. However, if she tries arranging them into groups of 37, one of the groups will be short of 3 stamps. How many stamps does Megan have?
A certain scholarship grant amount is to be divided among a group of students. If each student is given $30, $20 will be left undistributed. If each student is given $40, there will be a shortage of $30. (a) How many students will get the scholarship? (b) What is the minimum grant amount? Notes on stu ...
A group of students shared a box of chocolates among them. If each student gets 10 chocolates, there will be 8 chocolates extra. If 12 chocolates were distributed to each student, the last student of the group will receive 2 chocolates. Find the number of chocolates in the box.
Betty bought some marbles for her friends. If she gives each of them 14 marbles, she will need 8 more marbles. If she gives each of them 12 marbles, she will have 4 marbles left. How many marbles did she buy?
Charles had some 10 cent coins. He put them into stacks of 19 coins each and found that one of the stacks was short of 8 coins. When he rearranged the coins so that there were 18 coins in each stack, he found that he was left with three extra coins. Find the total value of all his coins. Notes to students: ...
There are two groups of people. If they get into rows of 8, there will be 7 people short to make the last row. If they get into rows of 7, there will be 6 people extra who cannot be put into rows. If one of the groups has 5 more people than the other, find the number of people in the larger group.
Kelly bought some buns and gave half of them to Lionel. Lionel bought some sweets and gave half of them to Kelly. Kelly ate 10 sweets and Lionel ate 22 buns. As a result, the ratio of the number of sweets to buns Kelly had left became 1:7 and the ratio of the number of sweets to buns Lionel had left became 1: 5. How many sweets did Lionel buy?
John had some marbles. He gave half of them to Mabel. Mabel had some beads. She gave half of them to John. John then gave 10 beads away and Mabel gave 112 marbles away. As a result, the ratio of John’s marbles to beads became 4:1 and the ratio of Mabel’s marbles to beads became 2: 1. How many marbles did John have at first?