Kul3kid999995a
contestada

Use a system of equations to solve this problem. Hunter needs 10 oz of a snack mix that is made up of seeds and dried fruit. The seeds cost $1.50 per ounce and the dried fruit costs $2.50 per ounce. The 10 oz snack mix costs $2.20 per ounce. Let x = the amount of seeds. Let y = the amount of dried fruit. How much of each snack should Hunter purchase to satisfy the scenario? Enter your answers in the boxes.

Respuesta :

The correct answer is 3 ounces of the seed and 7 ounces of the dried fruit.

The hunter should purchase 3 ounces of seeds and 7 ounces of dried fruit to satisfy the scenario.

Explanation

[tex] x= [/tex] the amount of seeds and [tex] y= [/tex] the amount of dried fruit.

As the hunter needs total 10 ounces of a snack mix , so the first equation will be..

[tex] x+y= 10 .....................................(1) [/tex]

Now the seeds cost $1.50 per ounce and the dried fruit costs $2.50 per ounce. And the mixture costs $2.20 per ounce, so the second equation will be:

[tex] 1.50x+2.50y= 2.20*10\\ \\ 1.50x+2.50y= 22.........................................(2) [/tex]

According to the substitution method, we will isolate y from the first equation as [tex] y= 10- x [/tex]

Now we will substitute this [tex] y= 10- x [/tex] into the second equation in place of [tex] y [/tex]

[tex] 1.50x+2.50(10-x)= 22\\ \\ 1.50x+25-2.50x =22 \\ \\ -1.00x = 22-25 \\ \\ -1.00x= -3\\ \\ x= 3 [/tex]

Plugging this [tex] x=3 [/tex] into the equation [tex] y= 10- x [/tex] , we will get...

[tex] y= 10-3 =7 [/tex]

So, the hunter should purchase 3 ounces of seeds and 7 ounces of dried fruit to satisfy the scenario.

Otras preguntas