Singapore Math 2 (A Grade 7 Problem from a Singapore text)
This is a Grade 7 problem from a Singapore text. The problem is solved both algebraically (the way it is generally done in the US) and visually (the way it was shown in the Singapore text). Viewers are asked to decide which one they prefer.
Mr. Rozario bought some apples and oranges. The ratio of the number of apples to the number of oranges are 2 : 5. He gave 3/4 of the apples to his sister and 34 oranges to his brother. The ratio of the number of oranges to the number of apples that he has now is 2 : 3. How many apples did Mr. Rozario buy? How many oranges did Mr. Rozario buy?
There are 8 more girls than boys in a particular class. 3/5 of the boys and 1/3 of the girls were born in Georgia. If the number of boys that were born in Georgia is equal to the number of girls that were born in Georgia, how many students (boys and girls together) in that class were born in Georgis?
Ray and Omar collect stamps. Originally, 1/5 of Omar's stamps were equivalent to 1/3 of Ray's stamps. If Ray gave Omar 24 stamps, Omar would have 3 times as many stamps as Ray. Find the number of stamps each of them had in the beginning.
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