Question

A type of green paint is made by mixing 2 2​ cups of yellow with 3.5 3.5​ cups of blue. a) Find a mixture that will make the same shade of green but a smaller amount. ​ cup(s) of yellow ​ cup(s) of blue ​​​ b) Find a mixture that will make the same shade of green but a larger amount.​ ​ ​ cup(s) of yellow ​ cup(s) of blue c) Find a mixture that will make a different shade of green that is bluer.​ ​ cup(s) of yellow ​ cup(s) of blue d) Find a mixture that will make a different shade of green that is more yellow.​ ​ cup(s) of yellow ​​ cup(s) of blueA type of green paint is made by mixing

2
2​ cups of yellow with
3.5
3.5​ cups of blue.

a) Find a mixture that will make the same shade of green but a smaller amount.


​ cup(s) of yellow


​ cup(s) of blue
​​​
b) Find a mixture that will make the same shade of green but a larger amount.​ ​


​ cup(s) of yellow


​ cup(s) of blue

c) Find a mixture that will make a different shade of green that is bluer.​


​ cup(s) of yellow


​ cup(s) of blue

d) Find a mixture that will make a different shade of green that is more yellow.​


​ cup(s) of yellow


​​ cup(s) of blue

Answer 1

To create various mixtures of green paint, we can scale the original 2:3.5 yellow to blue ratio up or down, or adjust the proportions to skew the shade towards yellow or blue.

Step-by-step explanation:

To create mixtures of green paint with different amounts and shades, we use simple ratios and proportions. For the original mixture, we have a ratio of yellow to blue of 2:3.5, which can also be simplified to approximately 4:7 when dealing with smaller or larger quantities.

• a) For a smaller amount with the same shade, we could use any multiples of the ratio, such as 1 cup of yellow to 1.75 cups of blue.
• b) For a larger amount with the same shade, we might use 4 cups of yellow to 7 cups of blue.
• c) To make the green bluer, you would increase the proportion of blue, such as 2 cups of yellow to 4 cups of blue (keeping the yellow amount constant but doubling the blue).
• d) To make the green more yellow, you would increase the proportion of yellow, for instance 3 cups of yellow to 3.5 cups of blue.

Answer 2

To make the same shade of green but a smaller amount, you can use a smaller ratio of yellow to blue. To make a larger amount, you can use a larger ratio. To make a bluer shade of green, increase the ratio of blue to yellow. To make a more yellow shade of green, decrease the ratio of blue to yellow.

To make the same shade of green but a smaller amount, we can use the concept of ratios. The original mixture has a ratio of 2 cups yellow to 3.5 cups blue. To make a smaller amount, we can use a smaller ratio. For example, if we use a ratio of 1 cup yellow to 1.75 cups blue, we will have the same shade of green but in a smaller quantity.

a) Cup(s) of yellow: 1

Cup(s) of blue: 1.75

To make the same shade of green but a larger amount, we can use the same concept of ratios. We can increase the ratio to produce a larger quantity of paint. For example, if we use a ratio of 4 cups yellow to 7 cups blue, we will have the same shade of green but in a larger amount.

b) Cup(s) of yellow: 4

Cup(s) of blue: 7

To make a different shade of green that is bluer, we can increase the ratio of blue to yellow in the mixture. For example, if we use a ratio of 2 cups yellow to 4 cups blue, we will have a shade of green that is bluer.

c) Cup(s) of yellow: 2

Cup(s) of blue: 4

To make a different shade of green that is more yellow, we can decrease the ratio of blue to yellow in the mixture. For example, if we use a ratio of 2 cups yellow to 1 cup blue, we will have a shade of green that is more yellow.

d) Cup(s) of yellow: 2

Cup(s) of blue: 1