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# Ratios, LCD and Simplification

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1.)The ratio of strawberry ice cream lovers to vanilla is 9 to 5. If there are 144 more strawberry ice cream lovers than vanilla, how many of each are there?

2.) Find the LCD and convert each rational expression into an equivalent rational expression with the LCD as the denominator:
4/15xy^2, 3x/6y

3.) Simplify and write solution using only positive exponents: 7x^2yz^2/21x^3yx^7.

4.) Rewrite with a rational denominator: sqrt 5/sqrt 7

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Ratios, LCD and Simplification are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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1.)The ratio of strawberry ice cream lovers to vanilla is 9 to 5. If there are 144 more strawberry ice cream lovers than vanilla, how many of each are there?

We can assume that there are x ice cream lovers and y ice cream vanilla. Then we can set up the following equations.

By the information "The ratio of strawberry ice cream lovers to ...

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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