contestada

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?

Respuesta :

Answer:

[tex]\frac{13}{20}[/tex] part of the flower pot is painted either teal or yellow.

Step-by-step explanation:

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

It is given that,

Part of the total painted teal = [tex]\frac{2x}{5}[/tex]

Part of the total painted yellow = [tex]\frac{x}{4}[/tex]

Part of the total painted white = [tex]x-\frac{2x}{5}-\frac{x}{4}[/tex] = [tex]\frac{7x}{20}[/tex]

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

Fraction = [tex]\frac{Teal+Yellow}{Total}[/tex]

i.e. Fraction = [tex]\frac{\frac{2x}{5}+\frac{x}{4}}{x}[/tex]

i.e. Fraction = [tex]\frac{\frac{8x+5x}{20}}{x}[/tex]

i.e. Fraction = [tex]\frac{\frac{13x}{20}}{x}[/tex]

i.e. Fraction = [tex]\frac{13}{20}[/tex]

Hence, [tex]\frac{13}{20}[/tex] part of the flower pot is painted either teal or yellow.

Otras preguntas