Question

A gardener is planting two types of trees:

Type A is 8 feet tall and grows at a rate of 18 inches per year.

Type B is 9 feet tall and grows at a rate of 17 inches per year.

Algebraically determine exactly how many years it will take for these trees to be the same height.​

Answer 1

12 yrs

Explanation:

Made all units inches

Made an equation based on the information given (x is amount of yrs)

18x + 96 = 17x + 108

18x = 17x +12

x = 12

Answer 2

The answer to your question is: In 12 years both plants will have the same height.

Explanation:

Type A = 8 ft 18 in/y

Type B = 9 ft 17 in/y

Process

1.- Convert the height to inches

Type A = 96 in

Type B = 108 in

2.- Write equations of the height

Type A = 96 + 18x x means the number of years

Type B = 108 + 17x

3.- As the height must be the same, equal both equations and solve for x

96 + 18x = 108 + 17x

18x - 17x = 108 - 96

x = 12