Question

Please help me and also l will send the pictures

Answer 1

1/2 cup of salt corresponds to 1/4 cup of pepper, 1/8 cup of garlic powder, and 1/8 cup of onion powder.

Batch 1

To find the equivalent measures to 1 cup of salt, we can use the next proportions:

`\frac{(1)/(2)\text{ cup of salt}}{1\text{ cup of salt}}=\frac{(1)/(4)\text{ cup of pepper}}{x\text{ cup of pepper}}`

Solving for x,

`\begin{gathered} (1)/(2)\cdot x=(1)/(4)\cdot1 \\ x=(1)/(4)\cdot2 \\ x=(1)/(2)\text{ cup of pepper} \end{gathered}`
`\begin{gathered} \frac{(1)/(2)\text{ cup of salt}}{1\text{ cup of salt}}=\frac{(1)/(8)\text{ cup of garlic powder}}{x\text{ cup of garlic powder}} \\ (1)/(2)\cdot x=(1)/(8)\cdot1 \\ x=(1)/(8)\cdot2 \\ x=(1)/(4)\text{cup of garlic powder} \end{gathered}`

The amount of onion powder is also 1/4 cup

Batch 2

To find the equivalent measures to 1 cup of pepper, we can use the next proportions:

`\begin{gathered} \frac{(1)/(4)\text{ cup of pepper}}{1\text{ cup of pepper}}=\frac{(1)/(2)\text{ cup of salt}}{x\text{ cup of salt}} \\ (1)/(4)\cdot x=(1)/(2)\cdot1 \\ x=(1)/(2)\cdot4 \\ x=2\text{ cup of salt} \end{gathered}`
`\begin{gathered} \frac{(1)/(4)\text{ cup of pepper}}{1\text{ cup of pepper}}=\frac{(1)/(8)\text{ cup of garlic powder }}{x\text{ cup of garlic powder}} \\ (1)/(4)\cdot x=(1)/(8)\cdot1 \\ x=(1)/(8)\cdot4 \\ x=(1)/(2)\text{ cup of garlic powder} \end{gathered}`

The amount of onion powder is also 1/2 cup

Batch 3

To find the equivalent measures to 1 cup of garlic powder, we can use the next proportions:

`\begin{gathered} \frac{(1)/(8)\text{ cup of garlic powder}}{1\text{ cup of garlic powder}}=\frac{(1)/(2)\text{ cup of salt}}{x\text{ cup of salt}} \\ (1)/(8)\cdot x=(1)/(2)\cdot1 \\ x=(1)/(2)\cdot8 \\ x=4\text{ cup of salt} \end{gathered}`
`\begin{gathered} \frac{(1)/(8)\text{cup of garlic powder}}{1\text{ cup of garlic powder}}=\frac{(1)/(4)\text{ cup of pepper}}{x\text{ cup of pepper}} \\ (1)/(8)\cdot x=(1)/(4)\cdot1 \\ x=(1)/(4)\cdot8 \\ x=2\text{ cup of pepper} \end{gathered}`
`\begin{gathered} \frac{(1)/(8)\text{cup of garlic powder }}{1\text{ cup of garlic powder}}=\frac{(1)/(8)\text{ cup of onion powder}}{x\text{ cup of onion powder}} \\ (1)/(8)\cdot x=(1)/(8)\cdot1 \\ x=(1)/(8)\cdot8 \\ x=1\text{ cup of onion powder} \end{gathered}`

Part B

One half of the 12 cups of the mixture is salt, one fourth is pepper and one eighth is garlic powder and onion powder. That is,

Salt: 12*1/2 = 6

Pepper: 12*1/4 = 3

Garlic powder: 12*1/8 = 3/2

Onion powder: 12*1/8 = 3/2