Mrs. Roberts poured 2 glasses of lemonade. The first glass contained 5 oz of lemon juice and 8 oz of water. The second glass contained 3 oz of lemon juice and 7 oz of water. Which glass of lemonade had a stronger lemon flavor? Show me or explain to me how you know. (Prove to me that your answer is correct!)

Question

10-06-2019
Mathematics

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Mrs. Roberts poured 2 glasses of lemonade. The first glass contained 5 oz of lemon juice and 8 oz of water. The second glass contained 3 oz of lemon juice and 7 oz of water. Which glass of lemonade had a stronger lemon flavor? Show me or explain to me how you know. (Prove to me that your answer is correct!)

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Bagginshield Bagginshield · Answer 1 · 2019-06-10T15:58:31+02:00

Answer:

The first glass

Step-by-step explanation:

I believe that first, you must find the ratio of lemonade to water in each glass.

[Remember that you can write a ratio in 3 ways (assume that x and y are numbers):

x : y

x / y

x to y

Now, our first glass of lemonade can be written as 5/8. If you were to write 5/8 as a decimal, you'd get 0.625.

Now, our second glass of lemonade can be written as 3/7. If you were to write 3/7 as a decimal, you'd get 0.428 (I rounded it to the nearest thousandth.)

0.625 > 0.428

0.625 is greater than 0.428, so therefore, the first glass had a stronger lemon flavor.

I hope this helps! :)

MathPhys MathPhys · Answer 2 · 2019-06-10T15:59:34+02:00

Step-by-step explanation:

The first glass has a total volume of 5 oz + 8 oz = 13 oz. Of the 13 oz, 5 oz is lemon juice, so the fraction of lemon is 5/13.

The second glass has a total volume of 3 oz + 7 oz = 10 oz. Of the 10 oz, 3 oz is lemon juice, so the fraction of lemon is 3/10.

We need to compare these fractions. To do that, we need to find the common denominator. In this case, 10×13 = 130.

5/13 = 50/130

3/10 = 39/130

So the first glass has the stronger lemon flavor.