Question

A greedy hamster hoarded two piles of sunflower seeds. Yesterday the ratio of seeds in these piles was 3:4, but today the greedy hamster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday?

Answer 1

The weight of the each pile yesterday would be 6 and 8 pounds.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given;

Yesterday the ratio of seeds in these piles was 3:4.

Let it be 3x and 4x.

If the 2 pounds of seeds is added in the bigger pile, then it become

4x + 2

He also ate 1/4 pound from the smaller pile, then

3x - 1/4

Now the quantities of seeds in those piles is in the ratio of 5:16.

So, 4x + 2 = 5x

3x - 1/4 = 16x

Solve;

So, 4x + 2 = 5x

2 = 5x - 4x

x = 2

The weight of the each pie would be

3x = 6 pound

4x = 8 pound

Hence, The weight of the each pile yesterday would be 6 and 8 pounds.

Learn more about the unitary method;

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