The following are some examples of 7th Grade Math Word Problems that deals with ratio and proportions.
These are Grade 7 word problems from a Singapore text. The problems are solved both using algebra (the way
it is generally done in the US) and using block diagrams (the way it was shown in the Singapore text).
You can then decide which one you prefer.
Singapore Math 2 (A Grade 7 Algebra Word Problem from a Singapore text)
Example: 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?
Example: At first, the ratio of Sam's savings to Ray's savings was 5:4. After each of them donated $45 to charity, the ratio of Sam's savings to Ray's savings became 11:7. What was Sam's savings at first?
Example: Dan had 50% fewer stickers than Jeff. After Jeff gave 20 of his stickers to Dan, Dan had 40% fewer stickers than Jeff (had after he gave away 20 of his stickers). How many stickers did Dan have at first?
Example: 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 Georgia?
Example: 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.
Example: Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
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