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After 6 weeks.

let x be the number of weeks savings have been done; then:

For you: account contains 50 + 10x

For friend: account contains 20 + 15x

These are equal when:

20 + 15x = 50 + 10x

→ 15x - 10x = 50 - 20

→ 5x = 30

→ x = 6

Therefore after 6 weeks you will have: $50 + $10 x 6 = $$50 + $60 = 110;

and your friend will have: $20 + $15 x 6 = $20 + $90 = $110;

You both have the same amount.

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Q: Suppose you have 50 dollars in your bank account you start saving 10 each week- your friend has 20 in her account and is saving 15 each week- when will you and your friend have the same amount?
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