Question

Cecile packages snack mix at a health food store. She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 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? 18 pounds 23 pounds

Answer 1

Given:

Cecile uses
`(1)/(3)` of her supply of sunflower seeds to make a salted snack mix and
`(2)/(9)` 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
`(1)/(3)` of her supply of sunflower seeds to make a salted snack mix, i.e.,
`(1)/(3)x`.

Cecile uses
`(2)/(9)` of her supply to make an unsalted snack mix, i.e.,
`(2)/(9)x`.

Total sunflower seeds used = 10 pounds.

`(1)/(3)x+(2)/(9)x=10`

`(3x+2x)/(9)=10`

`5x=10* 9`

`5x=90`

Divide both sides by 5.

`x=18`

So, there are 18 pounds of seeds in her supply.

Therefore, the correct option is A.