Respuesta :
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.
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.