Question

kamilah picks a total of 16 radishes and carrots in the community garden. she picks 3 times as many radishes as carrots. make a diagram to show the number of carrots and radishes that kamilah picks. kamilahs vegetables total carrots 0 radishes 0

Explanation:

Step1: Define variables

Let $c$ = number of carrots, $r$ = number of radishes.

Step2: Set up equations

Total vegetables: $c + r = 16$
Radishes = 3×carrots: $r = 3c$

Step3: Substitute and solve for $c$

Substitute $r=3c$ into total equation:
$c + 3c = 16$
$4c = 16$
$c = \frac{16}{4} = 4$

Step4: Solve for $r$

$r = 3c = 3×4 = 12$

Step5: Fill the diagram

For Carrots: shade 4 boxes, total = 4
For Radishes: shade 12 boxes, total = 12

Answer:

Completed Diagram (Kamilah's Vegetables):

	Box 1	Box 2	Box 3	Box 4	Box 5	Box 6	Box 7	Box 8	Box 9	Box 10	Box 11	Box 12	Box 13	Box 14	Box 15	Box 16	Total
Radishes	Shade	Shade	Shade	Shade	Shade	Shade	Shade	Shade	Shade	Shade	Shade	Shade	Empty	Empty	Empty	Empty	12

Final counts: 4 carrots, 12 radishes