Question

Mark and Melissa went to the garden center together to buy plants. Mark bought six ferns and one azalea for $80. Melissa bought five ferns and three azaleas for $84. how much was a single fern

Answer 1

Price of single fern is $12

Price of single azalea is $8

Explanation:

Let's assume

price of each fern is x

price of each azalea is y

Mark bought six ferns and one azalea for $80

so, we got first equation as

`6x+y=80`

Melissa bought five ferns and three azaleas for $84

so, we got second equation as

`5x+3y=84`

now, we can solve it

Firstly, we can solve for y from first equation and then plug that in second equation

`6x+y=80`

`y=80-6x`

now, we can plug that into second equation

`5x+3(80-6x)=84`

`-13x+240=84`

`-13x=-156`

`x=12`

now, we can solve for y

`y=80-6* 12`

`y=8`