Question

Question 1Clare makes to 2 1/2 cups of water with 1/3 cups of orange juice concentrate. Han mixes 1 2/3 cups of water 1/4 cup of orange juice concentrate. Whose orange juice mixture tastes stronger? explain or show your reasoning

Answer 1

Clare makes to 2 1/2 cups of water with 1/3 cups of orange juice concentrate.

so, the unit rate is x = cubs of orange per cubs of water

`x=(1)/(3)/2(1)/(2)=(1)/(3)/(5)/(2)=(1)/(3)\cdot(2)/(5)=(2)/(15)`

so, we need 2/15 cub of orange for each cub of water

Han mixes 1 2/3 cups of water 1/4 cup of orange juice concentrate.

so, the unit rate is x = cubs of orange per cubs of water

`x=(1)/(4)/1(2)/(3)=(1)/(4)/(5)/(3)=(1)/(4)\cdot(3)/(5)=(3)/(20)`

Now compare the unit rate for each 2/15 and 3/20

Convert to decimal:

`\begin{gathered} (2)/(15)=0.1333_- \\ \\ (3)/(20)=0.15 \\ So \\ \\ 0.15>0.1333_- \\ \\ (3)/(20)>(2)/(15) \end{gathered}`

So, the stronger taste will be the mixture with the large unit rate which is 3/20

So, The mixture of Han has the stringer taste