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

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

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.