Question

Damon makes 20 cups of lemonade by mixing lemon juice and water. The ratio of lemon juice to water is shown in the tape diagram.

( The table is 1 lemon juice and 4 water)



How much lemon juice did Damon use in the lemonade?

Thanks for the help :-)

Answer 1

Answer: Damon used 4 cups of lemon juice.

Explanation:

Given : The total number of cups in lemonade by mixing lemon juice and water. = 20 cups

Also, it is given that ,

Ratio of cups of lemon juice and water in one lemonade by the tape diagram = 1 lemon juice and 4 water

⇒ The ratio of cups of lemon juice and water in one lemonade = 1 : 4

Let the 'a' denotes the number of cups of lemon juice in one lemonade.

Then, The number of cups of water in one lemonade = 4a

According to the question , we have

`a+4a=20\\\\\Rightarrow\ 5a=20\\\\\Rightarrow\ a=(20)/(5)=4`

Hence, Damon used 4 cups of lemon juice.

Answer 2

Answer: 4 cup

Explanation:

Here, the total number of cups in lemonade = 20 cups

In which some are cup of lemon juice and some are cups of water.

And, the ratio of cups of lemon juice and water in one lemonade = 1 : 4

Let the cups of lemon juice in one lemonade = 1 x

And, The cups of water in one lemonade = 4 x

Where x is any number.

Thus, 1 x + 4 x = 20

⇒ 5 x = 20

⇒ x = 20/5 = 4

Thus, Damon uses 4 cup of lemon juice in one lemonade.