Respuesta :
Answer:
The number of tomato plants are 70 and the number of bell pepper plants are 60.
Step-by-step explanation:
Given:
Michelle has an area in her garden for some plants and she wants to plant both tomatoes and bell peppers she can purchase tomato plants for $1.50 and she can purchase bell pepper plants were $2.00.
Michelle is counted up enough space in her garden for a total of 130 plans she has $225 to spend.
Now, to find the number of plants she can purchased for her garden.
Let the number of tomato plants be [tex]x.[/tex]
And let the number of bell pepper plants be [tex]y.[/tex]
So, the total number of plants :
[tex]x+y=130[/tex]
[tex]y=130-x\ \ \ ......(1)[/tex]
Now, the total money she has to spend:
[tex]1.50(x)+2.00(y)=225[/tex]
[tex]1.5x+2y=225[/tex]
Substituting the value of [tex]y[/tex] from equation (1) we get:
[tex]1.5x+2(130-x)=225[/tex]
[tex]1.5x+260-2x=225[/tex]
[tex]-0.5x+260=225[/tex]
Subtracting both sides by 260 we get:
[tex]-0.5x=-35[/tex]
Dividing both sides by -0.5 we get:
[tex]x=70.[/tex]
The number of tomato plants = 70.
Now, substituting the value of [tex]x[/tex] in equation (1):
[tex]y=130-x\\\\y=130-70\\\\y=60.[/tex]
The number of bell pepper plants = 60.
Therefore, the number of tomato plants are 70 and the number of bell pepper plants are 60.
