Question

Kayla wants to plant a garden that contains only tomatoes and squash. She only has enough space to plant 40 vegetables, and she only has $80 to spend. Tomatoes cost $1 per plant and squash costs $3 a plant. Let t represent tomatoes and s represent squash. Write a system of equations for the question above. How many tomatoes and how many squash can Kayla plant?

Answer 1

Solving a system of equations, we see that she can plant 20 tomatoes and 20 squashes.

How many tomatoes and how many squash can Kayla plant?

Let's define the variables:

• t = number of tomatoes.
• s = number of squaches.

The space is enough for 40 plants, then:

t + s = 40

And we know that she has a total of $80 to spend (we assume that she spends it all)

t*$1 + s*$3 = $80

Then our system of equations:

t + s = 40

t*$1 + s*$3 = $80

To solve this, we can isolate one of the variables in the first equation, for e xample if we isolate t, we get:

t = 40  - s

Now we can replace that in the other equation:

(40 - s)*$1 + s*$3 = $80

Now we can solve that for s:

$40 - s*$1 + s*$3 = $80

s*$2 = $40

s = $40/$2 = 20

Then she will buy 20 units of squash, and the other 20 plants will be tomatoes.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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