Question

adam and shayna each improved their yards by planting flowers and shrubs.They bought their plants from the same store.adam spent 205 on 5 flowers and ten shrubs. shayna spent 120 on 6 flowers and 5 shrubs find the costs for one flower and one shrub

Answer 1

The cost of one flower is $5 and the cost of one shrub is $18

Explanation:

Let

x-----> the cost of one flower

y ----> the cost of one shrub

we know that

The linear equations that represent this system are

Adam

`5x+10y=205` -----> equation A

Shayna

`6x+5y=120` -----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (5,18)

see the attached figure

therefore

The cost of one flower is $5 and the cost of one shrub is $18