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

Answer:

Price of single fern is $12

Price of single azalea is $8

Step-by-step 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

$y=80-6\times 12$

$y=8$