A person has $13,000 invested in stock A and stock B. Stock A currently sells for $20 a share and

A person has $13,000 invested in stock A and stock B. Stock A currently sells for $20 a share and stock B sells for $90 a share. If stock B triples in value and stock A goes up 50%, his stock will be worth $33,000. How many shares of each stock does he own?

Set up the given equations, where A is the number of shares for Stock A, and B is the number of shares for Stock B

1. 90A + 20B = 13000
2. 3(90A) + 1.5(20B) = 33000 <-- Triple means multiply by 3, and 50% gain means multiply by 1.5

Rewrite (2) by multiplying through:
270A + 30B = 33000

Using our simultaneous equations calculator, we get A = 100 and B = 200. Click the links below to solve using each method:

• Substitution Method
• Elimination Method
• Cramers Method

Check our work using equation (1)
90(100) + 20(200) ? 13,000
9000 + 4000 ? 13,000
13000 = 13000