Question

The table shows of a ratio used to make of orange paint use a table how many quarts of yellow paint would be required to make the shade of orange if you use 9 quarts of red paint

Answer 1

`Y = 7(1)/(2)`

Explanation:

Missing Table:

Yellow Paint ----------- Red Paint

5 ---------------------------------6

Required

Determine the quarts of yellow paints when 9 quarts of red are used

Represent Yellow with Y and Red with R.

When Y = 5 and R = 6, we have the following:

`Y : R = 5 : 6`

Represent as a fraction

`(Y)/(R) = (5)/(6)`

When R = 9 and Y is unknown, we have the following:

and

`Y : R = Y : 9`

Represent as a fraction

`(Y)/(R) = (Y)/(9)`

Since the given parameters re[resent a direct variation between both paints, we can equate both fractions to solve for Y

`(5)/(6) = (Y)/(9)`

Multiply through by 9

`9 * (5)/(6) = (Y)/(9) * 9`

`9 * (5)/(6) = Y`

`3 * (5)/(2) = Y`

`(15)/(2) = Y`

`7(1)/(2) = Y`

`Y = 7(1)/(2)`

Hence,
`7(1)/(2)` quarts of the yellow paints is required