Question

13. Two Plants are growing in a greenhouse. A sunflower plant is 36 cm tall and

grows at a rate of 5 cm per week. An aloe plant is 96 cm tall and grows at a rate of 2 cm per week. After how many weeks will the plants be the same height?
Write and solve a system of equations that represents the given situation.

A. 25 weeks
B. 20 weeks
C. 15 weeks
D. 10 weeks

Answer 1

The answer is B 20 weeks

Answer 2

B. 20 weeks

Explanation:

I am using the graphing calculator my school uses for exams. But here is the step by step anyway

5x + 36 = 2x + 96

(5x - 2x) + 36 = (2x - 2x) + 96

3x + 36 = 96

3x + (36 - 36) = (96 - 36)

3x = 60

(3x ÷ 3) = (60 ÷ 3)

x = 20

x represents weeks