Question

A particular shade of paint is made by mixing 5 parts red paint with 7 parts blue. To make this shade,Shannon mixed 12 quarts of blue paint with 8 quarts

of red paint . Did shannon mix the correct shade? Explain

Answer 1

No, Shannon mix the incorrect shade.

Explanation:

Consider the provided information.

A particular shade of paint is made by mixing 5 parts red paint with 7 parts blue.

This can be written as:

`(Red)/(Blue)=(5)/(7)`

To make this shade,Shannon mixed 12 quarts of blue paint with 8 quarts of red paint.

Now, rewrite the above information as shown.

`(Red)/(Blue)=(8)/(12)`

Simplify the above expression.

`(Red)/(Blue)=(2)/(3)`

Here,

`(5)/(7)\\eq (2)/(3)`

No, they are not equal to each other when we find the common denominator,

`(60)/(84)\\eq (56)/(84)`

No, Shannon mix the incorrect shade.

Answer 2

ratio of red to blue needed:
5/7

ratio of red to blue from Shannon:

8/12
which reduces to
2/3

since 2/3 is not equal to 5/7, she did not mix the correct shade.