Question

PLZZZZ HELP MEEEEE FASTTTTT I GONNNA CRY

At a local garden shop, a customer pays $48 for 5 gerber daisies and 4 lily-of-the-valleys. Another customer pays $58 for 4 gerber daisies and 6 lily-of-the-valleys. Part A: Write a system of equations you can use to find the cost x of one gerber daisy and the cost y of one lily-of-the-valley. Part B: Solve the system of equations. Show your work or explain your steps.

Answer 1

Answer:A lily costs $7 and a geranium $4.

Step-by-step explanation:From the question we can write two equations. let the number of lilies be L and the number of geraniums be g, then:

5g+41=48

4g+6 L=58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20g + 16 L=192

20g + 30 L=290

Subtract the first equation from the second gives:

14 L =98 which dividing by 14 gives L=7

Substituting the value L = 7

in the first equation gives:

5g + 28 = 48

Subtract 20 from both side gives:

5g = 20

divide by 5 gives

g = 4

So, a lily costs $7 and a geranium costs $4.

Answer 2

A lily costs $7 and a geranium $4.

Explanation:

From the question we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5

g

+

4

l

=

48

4

g

+

6

l

=

58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20

g

+

16

l

=

192

20

g

+

30

l

=

290

Subtract the first equation from the second gives:

14

l

=

98

which dividing by 14 gives

l

=

7

Substituting the value

l

=

7

in the first equation gives:

5

g

+

28

=

48

Subtract 20 from both side gives:

5

g

=

20

divide by 5 gives

g

=

4

So, a lily costs $7 and a geranium costs $4.