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?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section3.6: Solve Applications With Linear Inequalities
Problem 3.115TI: Malik is planning a 6-day summer vacation trip. He has $840 in savings, and he earns $45 per hour...
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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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