For their CD collections, Alan, Tom, and Barbara have a total of 52 CD's. If Barbara had 6 more, then she would have as many as both of the boys together. Tom has three more CD's than Alan. How many CD's does each of the three have?

Question

Mathematics

Mauricio Good

10 January, 05:53

For their CD collections, Alan, Tom, and Barbara have a total of 52 CD's. If Barbara had 6 more, then she would have as many as both of the boys together. Tom has three more CD's than Alan. How many CD's does each of the three have?

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Answers (1)

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Tripp Christian · Answer 1

A + t + b = 52

b + 6 = (a + t) ... b = a + t - 6 ... b = a + (a + 3 - 6) ... b = 2a - 3

t = a + 3

a + (a + 3) + (2a - 3) = 52

4a = 52

a = 52/4

a = 13 < = = alan

t = a + 3

t = 13 + 3

t = 16 < = = tom

b = 2a - 3

b = 2 (13) - 3

b = 26 - 3

b = 23 < = = barbara