Engineering Board Exam Reviewer · Word Problems: Systems of Equations · hard
A multimillionaire left his entire estate to his wife, daughter, son, and bodyguard. His daughter and son got half the total value of the estate, sharing in the ratio of 3:2. His wife got twice as much value as the share of the son. If the bodyguard received half a million pesos, what is the total value of the estate?
- 6.5 million
- 5 million
- 7 million
- 6 million
Answer
B. 5 million
Solution
Let x=total value. Daughter and son together get x/2, split 3:2. Wife gets twice the son's share. Bodyguard gets 500,000. Summing all shares to equal x gives x = 5,000,000.
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