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At first, the ratio of the number of cookies in jars X and Y was 4 : 9.
After 8 cookies were put in jar X, and 10 cookies were taken out of jar y, the ratio
became 4:5
Form an equation, and find the number of cookies in jar Y at first.
At first, the ratio of the number of cookies in jars X and Y was 4 : 9.
After 8 cookies were put in jar X, and 10 cookies were taken out of jar y, the ratio
became 4:5
Form an equation, and find the number of cookies in jar Y at first.
[tex] \frac{4x + 8}{9x - 10} = \frac{4}{5} \\ \\ 5(4x + 8) = 4(9x - 10) \\ 20x + 40 = 36x - 40 \\ 40 + 40 = 36x - 20x \\ 80 = 16x \\ \frac{80}{16} = x \\ x = 5 \\ jar \: y = 9x = 9.5 \\ 45 \: cookies[/tex]
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