F131
contestada

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

Respuesta :

Greeru
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.

Answer:

No, Shannon mix the incorrect shade.

Step-by-step 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:

[tex]\frac{Red}{Blue}=\frac{5}{7}[/tex]

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

Now, rewrite the above information as shown.

[tex]\frac{Red}{Blue}=\frac{8}{12}[/tex]

Simplify the above expression.

[tex]\frac{Red}{Blue}=\frac{2}{3}[/tex]

Here,

[tex]\frac{5}{7}\neq \frac{2}{3}[/tex]

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

[tex]\frac{60}{84}\neq \frac{56}{84}[/tex]

No, Shannon mix the incorrect shade.