Question

miguel picks a total of 25 tomatoes and cucumbers at the community garden. he picks 4 times as many tomatoes as cucumbers.
1 cucumber + 4 tomatoes = 5 total vegetables
make a diagram to show the number of tomatoes and cucumbers that miguel picks.
miguels vegetables
total
tomatoes 0
cucumber 0

Explanation:

Step1: Define variables

Let $c$ = number of cucumbers, $t$ = number of tomatoes.

Step2: Set up equations

We know $t = 4c$ and $t + c = 25$.

Step3: Substitute and solve for $c$

Substitute $t=4c$ into total:
$4c + c = 25$
$5c = 25$
$c = \frac{25}{5} = 5$

Step4: Solve for number of tomatoes

$t = 4c = 4\times5 = 20$

Step5: Prepare diagram values

Each small box represents 1 vegetable. Fill 20 boxes for tomatoes, 5 for cucumbers.

Answer:

Completed Diagram (Miguel's Vegetables):

Tomatoes	$\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square$	Total	20

Final counts: 20 tomatoes, 5 cucumbers.