Investment a starts with $1000 and increases its value by $80 each week. Investment b starts with $2000 and loses $50 of its value each week. After how many weeks will the two investments have the same value?

33.3 weeks

Step-by-step explanation:

Let us represent number of weeks = w

Investment a starts with $1000 and increases its value by $80 each week.

$1000 + $80 × w

1000 + 80w

Investment b starts with $2000 and loses $50 of its value each week.

$2000 - $50 × w

2000 - 50w

After how many weeks will the two investments have the same value?

1000 + 80w = 2000 - 50w

Collect like terms

80w + 50w = 2000 - 1000

130w = 1000

w = 1000/30

w = 33.333333333 weeks

Approximately

After 33. 3 weeks, the Investment will have the same value

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