# 6th Grade Math Ratio Word Problems

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.

1. A board was cut into two pieces whose lengths are in the ratio 2:5. The longest piece was 85 inches. How long was the shortest piece?

1. The ratio of pigs to cows to sheep on the farm is 2:4:7. There are 65 more sheep than pigs. How many cows are there on the farm?

a) Draw a bar model representing the situation

b) Elmer is 5 years older than Sam. How old is Sam?

1. At Al’s Catering Service, they often make a large batch of fruit salad. The ratio of cups of apples to cups of oranges in the recipe is 8 : 5.

a) If they use 15 cups of oranges, how many cups of apples should they use?

b) If they only use 2 cups of apples, how many cups of oranges should they use?

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