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If the ratio of the price of stock A to stock B is 3:5 and stock A costs $90, wh

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Question: If the ratio of the price of stock A to stock B is 3:5 and stock A costs $90, what is the cost of stock B?

Options:

  1. $120
  2. $150
  3. $180
  4. $200

Correct Answer: $150

Solution: 

Let the cost of stock B be x. Then, 3/5 = 90/x => x = (90 * 5) / 3 = $150

If the ratio of the price of stock A to stock B is 3:5 and stock A costs $90, wh

Practice Questions

Q1
If the ratio of the price of stock A to stock B is 3:5 and stock A costs $90, what is the cost of stock B?
  1. $120
  2. $150
  3. $180
  4. $200

Questions & Step-by-Step Solutions

If the ratio of the price of stock A to stock B is 3:5 and stock A costs $90, what is the cost of stock B?
  • Step 1: Understand the ratio of stock A to stock B, which is 3:5.
  • Step 2: Let the cost of stock B be represented as x.
  • Step 3: Set up the ratio using the costs: 3/5 = 90/x.
  • Step 4: Cross-multiply to solve for x: 3 * x = 5 * 90.
  • Step 5: Calculate 5 * 90, which equals 450.
  • Step 6: Now you have the equation: 3x = 450.
  • Step 7: Divide both sides by 3 to find x: x = 450 / 3.
  • Step 8: Calculate 450 / 3, which equals 150.
  • Step 9: Therefore, the cost of stock B is $150.
  • Ratio and Proportion – Understanding and applying the concept of ratios to find unknown values.
  • Algebraic Manipulation – Using algebra to solve for a variable in an equation.
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