A man received 15% more than the other man when they shared an inheritance of $4,300. How much did each receive?
2 answers:
The man with the greater share receives $2,300. The other man receives $2,000.
Let us assume the man with less share gets x dollars. This is 100% of x. The man that receives 15% more then receives 115%, or 1.15x. Their total shared inheritance is $4,300. This can also be shown using their individual received portions:
Since both represent the total inheritance, they are equal. Thus, solve for x:
The man with the smaller share received x dollars, which can now be determined as $2,000. The man with the greater share receives 1.15x dollars, which using substitution is equal to $2,300.
To check, add the final individual shares and see if they equal the total.
Since they are equal, the answer is correct.
Let us assume the man with less share gets x dollars. This is 100% of x. The man that receives 15% more then receives 115%, or 1.15x. Their total shared inheritance is $4,300. This can also be shown using their individual received portions:
Since both represent the total inheritance, they are equal. Thus, solve for x:
The man with the smaller share received x dollars, which can now be determined as $2,000. The man with the greater share receives 1.15x dollars, which using substitution is equal to $2,300.
To check, add the final individual shares and see if they equal the total.
Since they are equal, the answer is correct.
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Answer by JKismyhusbandbae: expression 2 and expression 1
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8v × 30v = ( 8 × 30) × ( v × v) =
Since expression 2 can be simplified to expression 1, they are equivalent.