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I baked two batches of cookies the first batch was 120 gingerbread cookies and the second batch consist of 150 shortbread cookies. I save the same fraction of cookies from each batch. if I saved 20 more shortbread cookies than gingerbread cookies, what a fraction of cookies did I save?

I baked two batches of cookies the first batch was 120 gingerbread cookies and the-example-1

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Answer: 2/3

Explanation:

Here, The first batch was 120 gingerbread cookies and the second batch consist of 150 shortbread cookies.

And, the same fractions of cookies from each batch were saved.

Let x parts of each of cookies were saved.

Then The number of the saved gingerbread cookies = 120 x

While, The number of the saved shortbread cookies = 150 x

And, Again according to the question, The number of the saved shortbread cookies is 20 more than The number of the saved shortbread cookies.

That is, 150 x - 120 x = 20

⇒ 30 x = 20

x = 2/3

Thus, The 2/3 part of each cookies were saved.

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