10. MP Find the Error The ratio of quarts of
white paint to red paint is 3:4. A student
says that to maintain the same ratio, he will
need 7 quarts of white paint if he has
8 quarts of red paint, because originally
there was one more quart of red paint than
white paint. Find the student's mistake and
correct it.

Respuesta :

Answer:

The quarts of white paint needed are 6 instead of 7 quarts

Step-by-step explanation:

Let

x -----> the quarts of  white paint

y -----> the quarts of  red paint

we know that

The ratio of quarts of  white paint to red paint is

[tex]\frac{x}{y}=\frac{3}{4}[/tex]

we know that

if he has  8 quarts of red paint,

using proportion

Find out the quarts of  white paint needed

[tex]\frac{3}{4}=\frac{x}{8}\\\\x=8*3/4\\\\x=6[/tex]

therefore

The quarts of white paint needed are 6 instead of 7 quarts