Amy had $214 more than her brother.After their father gave Amy $85 and her brother $66,Amy had twice as much money as her brother.How much did Amy have at first?
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Expert's answer
2011-10-11T11:30:44-0400
Let's sign Amys money by A and her brothers money by B. Hence,
A = B + 214 - at first A + 85 = 2(B + 66) - after their father gave Amy $85 and her brother $66
Let's solve this system of equations. We'll substitute A from them first equation into the second:
B + 214 + 85 = 2(B + 66) B + 299 = 2B + 132 So, B = 167. From the first equation we'll receive: A = 167 + 214 = 381. So, Amy had $381 at first.
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