Mahmoud has $50 dollars. He gets $10 per month. estiny has $350. She spends 50 per month. When will they have the same amount of money? Show your work as two tables. Express your answer as an ordered pair (x, y).

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

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