Respuesta :
Given:
Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix and [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix.
Cecile uses 10 pounds of sunflower seeds.
To find:
The total pounds of seeds in her supply.
Solution:
Let x be the total pounds of seeds in her supply.
Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix, i.e., [tex]\dfrac{1}{3}x[/tex].
Cecile uses [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix, i.e., [tex]\dfrac{2}{9}x[/tex].
Total sunflower seeds used = 10 pounds.
[tex]\dfrac{1}{3}x+\dfrac{2}{9}x=10[/tex]
[tex]\dfrac{3x+2x}{9}=10[/tex]
[tex]5x=10\times 9[/tex]
[tex]5x=90[/tex]
Divide both sides by 5.
[tex]x=18[/tex]
So, there are 18 pounds of seeds in her supply.
Therefore, the correct option is A.
