Question

Maria started the year with $235 in the bank and is saving $15 a week. Sergio started with $685 and is spending $35 a week. When will they both have the same amount of money in the bank? Write an equation(s) to represent the situation and then solve. Be sure to define your variable(s) and clearly answer the question.

Answer 1

9 weeks

Explanation:

let the time when they will both have the same amount be x

since Maria is saving then her money is bound to increase

therefore amount she will have after x weeks=235+15x

Sergio is spending so his money is reducing

therefore amount he will have after x weeks=

685-35x

so

235+15x=685-35x

685-235=15x+35x

450=50x

x= 450/50

9weeks