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vovangra [49]
3 years ago
8

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 a

s both of the boys together. Tom has three more CD’s than Alan. How many CD’s does each of the three have?
Alan has 13 CDs, Tom has 23 CDs, Barbara has 16 CDs

Alan has 23 CDs, Tom has 16 CDs, Barbara has 13 CDs

Alan has 13 CDs, Tom has 16 CDs, Barbara has 23 CDs

Alan has 16 CDs, Tom has 13 CDs, Barbara has 23 CDs
Mathematics
1 answer:
Anestetic [448]3 years ago
8 0
<span>its C. Alan has 13 CDs, Tom has 16 CDs, Barbara has 23 CDs !</span>
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Hey, guys help me answer!
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Hello and Good Morning/Afternoon

<u>Let's take this problem step by step.</u>

        5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6

<u>What did we do in this problem</u>

  • we ensured that both sides remained equally balanced in value
  • took everything step-by-step to make sure that there were no mistakes
  • to check it, we can plug it back into the original equation to see if it works

                  5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\

<u>Answer: x = 6</u>

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