Question

1. cecile packages snack mix at a health food store. she uses \\( \frac { 1 } { 3 } \\) of her supply of sunflower seeds to make a salted snack mix and \\( \frac { 2 } { 9 } \\) of her supply to make an unsalted snack mix. if cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply?

\\( \boldsymbol { \textcircled { a } } \\) 18 pounds
\\( \boldsymbol { \textcircled { b } } \\) 23 pounds
\\( \boldsymbol { \textcircled { c } } \\) 30 pounds
\\( \boldsymbol { \textcircled { d } } \\) 40 pounds

Explanation:

Step1: Sumar las fracciones

Sumamos \(\frac{1}{3}+\frac{2}{9}\). Convertimos \(\frac{1}{3}\) a \(\frac{3}{9}\), entonces \(\frac{3}{9}+\frac{2}{9}=\frac{5}{9}\).

Step2: Encontrar la cantidad total

Sabemos que \(\frac{5}{9}\) de la cantidad total \(x\) es 10 libras. Entonces \(\frac{5}{9}x = 10\). Resolviendo para \(x\), \(x=10\div\frac{5}{9}=10\times\frac{9}{5}=18\).

Answer:

A. 18 pounds