math
posted by mary on .
Translate to an equation:
p $25 potted plants and s $20 shrubs total $300
Graph the equation and use the graph to determine three different combinations of potted plants and shrubs that total $300.

can someone pleae help me???

25*x+20*y=300
x=numbers of potted plants
y=numbers of shrubs
You can divide both sides by 5, giving the following:
(25*x)/5 + (20*y)/5 = 300/5
5p + 4s = 60
You could set it up as follows; given a "p" value, you can find "s":
4s = 60  5p Divide both sides with 4
(4s)/4 = (60/4)  (5p/4)
s = 15  5p/4
To plot it, you might think of "p" and "s" as "x" and "y".
p can be 0 or number divisible with 4
Here are possible solutions:
p = 0
s = 15  5p/4
s = 15  5*0/4 = 15 0 = 15
p=0
s = 15
0*20$ + 15*20$ = 0+300$ = 300$
p = 4
s = 15  5p/4
s = 15  5*4/4 = 15  20/4 = 15 5 = 10
p=4
s=10
4*25$ + 10*20$ = 100$ + 200$ = 300$
p = 8
s = 15  5p/4
s = 15  5*8/4 = 15  40/4 = 15 10 = 5
p=8
s = 5
8*25$ + 5*20$ = 200 + 100$ = 300$
p = 12
s = 15  5p/4
s = 15  5*12/4 = 15  60/4 = 15 15 = 0
p=12
s=0
12*25$ + 0*20$ = 300$ + 0 = 300$
For graph go to:
wolframalpha dot com
and type:
plot (155p/4) (p=5 to 15)
then click option =