Question

mixture 1there is 1 1/2 teaspoons and 1 cupmixture 2there is 1/2 teaspoons and 2 cupsmixture 3 there is 1/4 teaspoons and 1 cup

Answer 1

Mixture 1 would taste different

Step-by-step explanation

the taste is given by the proportion of teaspoons and cups in eeach mixture, let's find them

Step 1

mixture 1

`\begin{gathered} 1(1)/(2)=((1\cdot2)+1)/(2)=(3)/(2)=1.5 \\ \text{then} \\ 1.5\text{ teaspoons }\rightarrow1\text{ cup} \\ \text{the proportion is} \\ (1.5)/(1)=1.5\frac{teaspoon}{\text{cup}} \end{gathered}`

mixture 2

`\begin{gathered} (1)/(2)=0.5 \\ \text{then} \\ 0.5\text{ teaspoonss}\rightarrow2\text{ cups} \\ \text{the proportion is} \\ \frac{0.5\text{ teaspoons}}{2\text{ cups}}=0.25\frac{teaspoons}{\text{cup}} \end{gathered}`

mixture 3

`\begin{gathered} (1)/(4)=0.25 \\ \text{then} \\ 0.25\text{ teaspoons}\rightarrow1\text{ cup} \\ \text{the proportion is} \\ (0.25)/(1)=0.25\text{ }\frac{teaspoons}{\text{cup}} \end{gathered}`

Step 3

compare the proportions

`\begin{gathered} \text{mixture 1=1.5} \\ \text{mixture 2=0}.25 \\ \text{mixture 3=0.25} \\ \end{gathered}`

Hence

Mixture 1 would taste different.

I hope this helps you