Question

Gabriel paints flower pots to sell at a craft fair. She paints 2/5 of a flower pot teal, 1/4 of it yellow, and the rest of it white. What fraction of the pot is painted either Teal or yellow?

Answer 1

`(13)/(20)` part of the flower pot is painted either teal or yellow.

Explanation:

Let, the total part of the flower pot painted = x.

It is given that,

Part of the total painted teal =
`(2x)/(5)`

Part of the total painted yellow =
`(x)/(4)`

Part of the total painted white =
`x-(2x)/(5)-(x)/(4)` =
`(7x)/(20)`

Thus, the fraction of the flower pot painted either teal or yellow is given by,

Fraction =
`(Teal+Yellow)/(Total)`

i.e. Fraction =
`((2x)/(5)+(x)/(4))/(x)`

i.e. Fraction =
`((8x+5x)/(20))/(x)`

i.e. Fraction =
`((13x)/(20))/(x)`

i.e. Fraction =
`(13)/(20)`

Hence,
`(13)/(20)` part of the flower pot is painted either teal or yellow.