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anonymous
 one year ago
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?
anonymous
 one year ago
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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kropot72
 one year ago
Best ResponseYou've already chosen the best response.0We can write three equations using the given information. Let A be the number of CDs that Alan has, T be Tom's number of CDs and B be Barbara's number of CDs. A + T + B = 52 ..........(1) B + 6 = A + T ............(2) T  3 = A ...................(3) Do you follow, so far?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Do you have any ideas on how to solve these equations?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Breaking it down like that helped but I am still very lost when it comes to actually solving it.

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0One way to solve is to rearrange (2) as follows: B + 6 = A + T ............(2) Rearranging we get A + T  B = 6 ............(4) Now if we add equations (1) and (4) can you find the result?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Add these: A + T + B = 52 ..........(1) A + T  B = 6 ............(4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So would A + T equal 46? Then would I just divide by two then take 3 from A and add it to T?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Adding (1) and (4) gives: 2A + 2T = 58 ...........(5) Do you follow?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, okay. Yes I'm following.

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Equation (3) gives A in terms of T A = T  3 Therefore we can substitute for A in equation (5) giving: 2(T  3) + 2T = 58 ..........(6) Can you solve (6) to find the value of T?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Correct. Good work! Now substitute your value for T into (3) to find the value of A: T  3 = A ...................(3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A= 13 T=16 B=23 Correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright, thank you so much for your help! :)
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