Jen and jason recently opened a savings account. jen made an inital deposit of $350 and will put in an additional $25 every week. jason made an intial deposit of $470 and will put an additional $15 every week, how long will it take them to have the same balance and what will it be?

Find how long it take to have the same balance
Write the expressions represent the savings of Jen and the savings of Jason
For an instance, w stands for the number of weeks they take to have the same balance.

Jen ⇒ initial $350, additional $25/week, the expression will be
350 + 25w
Jason ⇒ initial $470, additional $15/week, the expression will be
470 + 15w

Then find the value of w using equation Jen's expression and Jason's expression
350 + 25w = 470 + 15w
25w - 15w = 470 - 350
10w = 120
    w = 120/10
    w = 12

They have the same balance in 12 weeks

Find how much each of them has in 12 weeks
350 + 25w
= 350 + 25(12)
= 350 + 300
= 650

They have each $650 in 12 weeks

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