A store is having a sale on trail mix and jellybeans for 3 pounds of trail mix and 5 pounds of jellybeans the total cost is $23 for 6 pounds of trail mix and 2 pounds of jellybeans the cost is $20 find the cost for each pound of trail mix in each pan of jellybeans

The jelly beans cost $2.25 / pound

The trail mix costs $1.25 / pound

Step-by-step explanation:

I just took the test.

$2.75 and $3.5

Step-by-step explanation:

⇒ 2x+3y=16  →  (1)

For 6 pounds of trail mix and 5 pounds of jelly beans, the total cost is $34.

⇒ 6x+5y=34  →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒ 3(2x+3y-16)-(6x+5y-34)=0

⇒ 4y=14 ⇒ y=3.5

hence,  2x+3(3.5)=16 ⇒ x=2.75  

Hence, the cost for each pound of trail mix and each pound of jelly beans is $2.75 and $3.5 respectively.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3