Question

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 two dollars Michelle is counted up enough space in her garden for a total of 130 plans she has $225 to spend how many plants can she purchased for her garden

Answer 1

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 $x.$

And let the number of bell pepper plants be $y.$

So, the total number of plants :

$x+y=130$

$y=130-x\ \ \ ......(1)$

Now, the total money she has to spend:

$1.50(x)+2.00(y)=225$

$1.5x+2y=225$

Substituting the value of $y$ from equation (1) we get:

$1.5x+2(130-x)=225$

$1.5x+260-2x=225$

$-0.5x+260=225$

Subtracting both sides by 260 we get:

$-0.5x=-35$

Dividing both sides by -0.5 we get:

$x=70.$

The number of tomato plants = 70.

Now, substituting the value of $x$ in equation (1):

$y=130-x\\\\y=130-70\\\\y=60.$

The number of bell pepper plants = 60.

Therefore, the number of tomato plants are 70 and the number of bell pepper plants are 60.