mr. arnold is painting a large bookcase and a small bookcase to use in his classroom. to paint the large…

mr. arnold is painting a large bookcase and a small bookcase to use in his classroom. to paint the large bookcase, he mixes green and white paint. to paint the small bookcase, he mixes half the amount of green paint and half the amount of white paint. which bookcase is a lighter shade of green? the large bookcase is a lighter shade of green. the small bookcase is a lighter shade of green. neither. the bookcases are the same shade of green.

mr. arnold is painting a large bookcase and a small bookcase to use in his classroom. to paint the large bookcase, he mixes green and white paint. to paint the small bookcase, he mixes half the amount of green paint and half the amount of white paint. which bookcase is a lighter shade of green? the large bookcase is a lighter shade of green. the small bookcase is a lighter shade of green. neither. the bookcases are the same shade of green.

Answer

Answer:

C. Neither. The bookcases are the same shade of green.

Explanation:

Step1: Consider la proporción de pinturas

Sea $g$ la cantidad de pintura verde y $w$ la cantidad de pintura blanca para el estante grande. Para el estante pequeño, la cantidad de pintura verde es $\frac{g}{2}$ y la cantidad de pintura blanca es $\frac{w}{2}$.

Step2: Calcular la proporción de verde

La proporción de verde en el estante grande es $\frac{g}{g + w}$. La proporción de verde en el estante pequeño es $\frac{\frac{g}{2}}{\frac{g}{2}+\frac{w}{2}}=\frac{\frac{g}{2}}{\frac{g + w}{2}}=\frac{g}{g + w}$.

Step3: Concluir

Como las proporciones de verde en ambos estantes son iguales, los estantes tienen la misma tonalidad de verde.