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

Respuesta :

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

[tex]x=\frac{1}{3}\div2\frac{1}{2}=\frac{1}{3}\div\frac{5}{2}=\frac{1}{3}\cdot\frac{2}{5}=\frac{2}{15}[/tex]

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

[tex]x=\frac{1}{4}\div1\frac{2}{3}=\frac{1}{4}\div\frac{5}{3}=\frac{1}{4}\cdot\frac{3}{5}=\frac{3}{20}[/tex]

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

Convert to decimal:

[tex]\begin{gathered} \frac{2}{15}=0.1333_- \\ \\ \frac{3}{20}=0.15 \\ So \\ \\ 0.15>0.1333_- \\ \\ \frac{3}{20}>\frac{2}{15} \end{gathered}[/tex]

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