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Digital SAT
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Feed Distribution for Goats and Sheep

Hard Problem Solving And Data Analysis Ratios, Rates, And Proportional Relationships

A local farmer is planning to distribute feed for his livestock. He has a total of 300 pounds of feed that he needs to divide between two types of animals: goats and sheep. The farmer's ratio of goats to sheep is 3:2.

If the farmer decides to distribute the feed according to this ratio, how many pounds of feed will each type of animal receive?

Let $$ g $$ represent the number of pounds of feed given to the goats and $$ s $$ represent the number of pounds of feed given to the sheep.

Given the ratio of goats to sheep, we can express it as: $$ \frac{g}{s} = \frac{3}{2} $$.

Additionally, the total feed distributed is: $$ g + s = 300 $$.

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