Answer:
The number of tomato plants are <u>70</u> and the number of bell pepper plants are <u>60</u>.
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 ![x.](https://tex.z-dn.net/?f=x.)
And let the number of bell pepper plants be ![y.](https://tex.z-dn.net/?f=y.)
<em>So, the total number of plants :</em>
<em />
<em />
<em />
<em />
<em>Now, the total money she has to spend:</em>
![1.50(x)+2.00(y)=225](https://tex.z-dn.net/?f=1.50%28x%29%2B2.00%28y%29%3D225)
![1.5x+2y=225](https://tex.z-dn.net/?f=1.5x%2B2y%3D225)
Substituting the value of
from equation (1) we get:
![1.5x+2(130-x)=225](https://tex.z-dn.net/?f=1.5x%2B2%28130-x%29%3D225)
![1.5x+260-2x=225](https://tex.z-dn.net/?f=1.5x%2B260-2x%3D225)
![-0.5x+260=225](https://tex.z-dn.net/?f=-0.5x%2B260%3D225)
<em>Subtracting both sides by 260 we get:</em>
<em />
<em />
<em>Dividing both sides by -0.5 we get:</em>
![x=70.](https://tex.z-dn.net/?f=x%3D70.)
<em>The number of tomato plants = 70.</em>
Now, substituting the value of
in equation (1):
![y=130-x\\\\y=130-70\\\\y=60.](https://tex.z-dn.net/?f=y%3D130-x%5C%5C%5C%5Cy%3D130-70%5C%5C%5C%5Cy%3D60.)
<em>The number of bell pepper plants = 60.</em>
Therefore, the number of tomato plants are 70 and the number of bell pepper plants are 60.