35% of Cheko's savings is equal to 45% of Keddy's savings. What is the ratio of Cheko's savings to Keddy's savings? Express your answer in the simplest form
Question
35% of Cheko's savings is equal to 45% of Keddy's savings. What is the ratio of Cheko's savings to Keddy's savings? Express your answer in the simplest form
Solution
Let's denote Cheko's savings as C and Keddy's savings as K.
According to the problem, 35% of Cheko's savings is equal to 45% of Keddy's savings. This can be written as:
0.35C = 0.45K
To find the ratio of Cheko's savings to Keddy's savings (C:K), we can divide both sides of the equation by 0.45C:
(0.35C) / (0.45C) = (0.45K) / (0.45C)
This simplifies to:
0.35 / 0.45 = K / C
Simplifying the left side of the equation gives us the ratio of Cheko's savings to Keddy's savings:
0.7777... = K / C
So, the ratio of Cheko's savings to Keddy's savings is approximately 0.78:1, or 78:100 in simplest form.
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