The following are some examples of 6th Grade Math Word Problems that deals with ratio and proportions. The word problems are solved with the help of tape diagrams, block diagrams or bar model (Singapore Math)
Mark and Fred had some money in the ratio 6:1. Mark gave half of his money to Fred. Find the ratio of the amount of money Mark had left to the amount of money Fred had in the end.
The ratio of the amount of money Mark had left to the amount of money Fred had in the end is 3:4.
Carol puts some green and red unit cubes in a box. The ratio of the number of green cubes to the number of red cubes is 2:1. She adds 12 more red cubes in the box and the ratio becomes 4:5.
a) How many green cubes are there in the box?
b) How many red cubes does Carol have in the end?
From the model, we see that:
a) 3 units = 12 cubes
1 unit = 12 ÷3 = 4 cubes
4 units = 4 × 4 = 16 cubes
There are 16 green cubes in the box.
b) 5 units = 5 × 4 = 20 cubes
Carol has 20 red cubes in the end.
How to solve ratio word problems?
How to solve more difficult ratio word problems?
How to use proportions to solve ratio problems?
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