Question

Trina planted plants in her garden last week. She planted twice as many cucumbers as zucchini and eight more tomatoes than cucumbers. Write and solve an equation to find the number of each kind of plant in her garden. If you need to, use the 5-D Process to help you organize your thinking. Be sure to define your variable.

Answer 1

7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.

Explanation:

• Let the number of tomatoes=t
• Let the number of cucumber planted=c
• Let the number of zucchini planted=z
• Total Number of Plants=43

She planted twice as many cucumbers as zucchini, this is written as:

• c=2z

She also planted eight more tomatoes than cucumbers, this is written as:

• t=c+8=2z+8

In total, she planted 43 plants

Therefore:

z+(2z)+(2z+8)=43

5z+8=43

5z=43-8

5z=35

Divide both sides by 5

z=7

Number of Cucumbers, c=2z=2 X 7 =14

Number of Tomatoes, t=c+8=14+8=22

Therefore, she planted 7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.