SOLUTION: You want to join a gym Plan A charges 216 $ to sign up plus 12 $ per week. Plan B charges 312 $ to sign up plus 4 $ per week how many weeks will the costs of the plans equal

Question 830588: You want to join a gym Plan A charges 216 $ to sign up plus 12 $ per week. Plan B charges 312 $ to sign up plus 4 $ per week how many weeks will the costs of the plans equal
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Week Plan A Plan B
1 216+12=228 312+4=316
2 228+12=240 316+4=320
3 240+12=252 320+4=324
4 252+12=264 324+4=328
5 264+12=276 328+4=332
6 276+12=288 332+4=336
7 288+12=300 336+4=340
8 300+12=312 340+4=344
9 312+12=324 344+4=348
10 324+12=336 348+4=352
11 336+12=348 352+4=356
12 348+12=360 356+4=360
.
A faster way is to find the difference in the weekly payment (12-4=8) and the difference in the initial cost (312-216=96) and then divide.
96 / 8 = 12

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