A store is having a sale on jelly beans and almonds. For two almonds of jellybeans and 5 pounds of almonds the total cost is $10. For 8 pounds of jellybeans and 3 pounds of almonds, the total cost is $23. Find the cost for each pound of jellybeans and each pound of almonds

The answer to your question is almonds = $1, jelly beans = $2.5

Step-by-step explanation:

Data

2 pounds of jelly beans and 5 pounds of almonds = $10

8 pounds of jelly beans and 3 pounds of almonds = $23

jelly beans = j

almonds = a

Process

1.- Write two equations to solve this problem

              2j + 5a = 10                      Equation l

              8j + 3 a = 23                     Equation ll

2.- Solve the system of equations by elimination

-Multiply equation l by -4

              -8j - 20a = -40

               8j + 3 a = 23

-Simplify

                0  - 17 a = -17

                           a = -17/-17

                           a = 1

-Find j

             8j + 3(1) = 23

             8j + 3 = 23

             8j = 23 - 3

             8j = 20

               j = 20/8

               j = 2.5

3.- Conclusion

The pound of almonds costs $1 and the pound of jelly beans costs $2.5

the cost of each pound of jellybeans is $2.5

the cost of each pound of almonds is $1

Step-by-step explanation:

Let x represent the cost of each pound of jellybeans.

Let y represent the cost of each pound of almonds.

For two pounds of jellybeans and 5 pounds of almonds the total cost is $10. It means that

2x + 5y = 10- - - - - - - - -1

For 8 pounds of jellybeans and 3 pounds of almonds, the total cost is $23. It means that

8x + 3y = 23- - - - - - - - - -2

Multiplying equation 1 by 4 and equation 2 by 1, it becomes

8x + 20y = 40

8x + 3y = 23

Subtracting, it becomes

17y = 17

y = 17/17

y = 1

Substituting y = 1 into equation 1, it becomes

2x + 5 × 1 = 10

2x + 5 = 10

2x = 10 - 5 = 5

x = 5/2 = 2.5

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.