Question

Aziz and Bakir are both saving money to buy cars. Aziz started by saving AED 200, and Bakir started by saving AED 2000. Each week, Aziz saves AED 150 and Bakir saves AED 250. How many weeks will it take for Aziz to have half as much money saved as Bakir?

Answer 1

Aziz will have half as much money saved as Bakir after 32 weeks.

Step-by-step explanation:

To find the number of weeks it will take for Aziz to have half as much money saved as Bakir, we need to set up an equation and solve for the number of weeks.

Let x be the number of weeks.

Aziz's savings after x weeks is given by: 200 + 150x

Bakir's savings after x weeks is given by: 2000 + 250x

We need to find the value of x that satisfies the equation: 200 + 150x = (1/2)(2000 + 250x)

Simplifying the equation, we have: 200 + 150x = 1000 + 125x

Combining like terms, we get: 25x = 800

Dividing both sides by 25, we find: x = 32

Therefore, it will take 32 weeks for Aziz to have half as much money saved as Bakir.