Multiple choice

Rachel, Emily, and Sarah decided to invest in a startup. Rachel invested $500, Emily invested $700, and Sarah invested an amount that was one-third of the total investment made by Rachel and Emily combined. After one year, the startup's value tripled. Quantity A Share of Sarah in the total amount at the end of one year Quantity B $400

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Rachel = 500, Emily = 700. Sarah = 1/3 * (500 + 700) = 400. Total investment = 1600. After one year, value triples to 4800. Sarah's share = 400/1600 * 4800 = 1200. Quantity A (1200) > Quantity B (400).

AI explanation

To find Sarah's investment, add Rachel and Emily's investments (500 + 700 = 1,200) and divide by three, which means Sarah invested 400. Since the startup's value tripled after one year, Sarah's share of the total amount is also tripled, making her share 1,200. Comparing Sarah's share of 1,200 to quantity B of 400 shows that quantity A is greater.

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