Question

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.

Answer 1

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

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

`(x)/(y)=(3)/(4)`

we know that

if he has 8 quarts of red paint,

using proportion

Find out the quarts of white paint needed

`(3)/(4)=(x)/(8)\\\\x=8*3/4\\\\x=6`

therefore

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