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).

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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