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You are choosing between two health clubs. Club A offers membership for a fee of $ $11 plus a monthly fee of $ $19.  Club B offers membership for a fee of $15 plus a monthly fee of $18.  After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?

Verified Answer :

castielshuman

Using the variable m for month
Club A:                                                      Club B:
 19m+11         19m+11=18m+15                          18m+15
                        -18m       -18m
                         m+11=  15  
                            -11     -11
                             m=4
Check 19(4)+11 = 87     18(4)+15= 87
total cost = 87

Club A is 11+19m
Club B is 15+18m

When they cost the same the two expressions are equal so:

11+19m = 15+18m
M. = 4

In 4 months the two health clubs will cost the same amount. The cost of each club is $87.

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