A water tank holds 666 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 888 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

74 weeks

Step-by-step explanation:

Given :

Let x = number of weeks

Gallon A:

Capacity = 666

Leak rate = 4 gallons per week

666 - 4x

Gallon B:

Capacity = 888

Leak rate = 7 gallons per week

888 - 7x

666- 4x = 888 - 7x

666 - 888 = - 7x + 4x

-222 = - 3x

x = 222 / 3

x = 74

After 74 weeks

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: