Answer:
The answer is (5 , 100)
Step-by-step explanation:
Let us make an equation for each one
∵ Mahmoud has $50
∵ He gets $10 per month
∵ Estiny has $350
∵ She spends $50 per month
- Assume that they will have the same amount of money in x months
∴ Mahmoud's amount = 50 + 10 x
∴ Estiny's amount = 350 - 50 x
Equate the two amounts of money
∵ 50 + 10 x = 350 - 50 x
- Add 50 x to both sides
∴ 50 + 60 x = 350
- Subtract 50 from both sides
∴ 60 x = 300
- Divide both sides by 60
∴ x = 5
∴ They will have the same amount of money after 5 months
Substitute x by 5 in any amount of them to find it
∵ Mahmoud's amount = 50 + 10(5)
∴ Mahmoud's amount = 50 + 50
∴ Mahmoud's amount = 100 dollars
∴ They will have $100 after 5 months
