The ratio of Alvin's savings to Bernardď's savings was 3: 11 after Alvin gave 10 of his savings to Bemard. Both later spent the same amount of money at a book fair. In the end, the ratio of Alvin's savings to Bemard's savings became 1:9 and Benard had $264 more than Alvin. (a) What was the ratio of Alvin's savings to Bemard's savings at first? (b) How much savings did Alvin had at first?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The ratio of Alvin's savings to Bernard's savings was 3: 11 after Alvin
gave 10 of his savings to Bemard. Both later spent the same amount of
money at a book fair. In the end, the ratio of Alvin's savings to Bernard's
savings became 1:9 and Bernard had $264 more than Alvin.
(a) What was the ratio of Alvin's savings to Bemard's savings at first?
(b) How much savings did Alvin had at first?
Transcribed Image Text:The ratio of Alvin's savings to Bernard's savings was 3: 11 after Alvin gave 10 of his savings to Bemard. Both later spent the same amount of money at a book fair. In the end, the ratio of Alvin's savings to Bernard's savings became 1:9 and Bernard had $264 more than Alvin. (a) What was the ratio of Alvin's savings to Bemard's savings at first? (b) How much savings did Alvin had at first?
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