SOLUTION: Mark bought some fruits 1/5 of the fruits are avocados 1/3 are star apples and 2/7 of the remainder are mangoes. If there are 18 mangoes , find the total number of fruits ?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Mark bought some fruits 1/5 of the fruits are avocados 1/3 are star apples and 2/7 of the remainder are mangoes. If there are 18 mangoes , find the total number of fruits ?      Log On


   

Question 891462: Mark bought some fruits 1/5 of the fruits are avocados 1/3 are star apples and 2/7 of the remainder are mangoes. If there are 18 mangoes , find the total number of fruits
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Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A=%281%2F5%29T
2.S=%281%2F3%29T
3.M=%282%2F7%29%28T-A-S%29
4.M=18
Substitute eq. 4 into eq. 3,
18=%282%2F7%29%28T-T%2F5-T%2F3%29
18=%282%2F7%29%2815%2F15-3%2F15-5%2F15%29T
18=%282%2F7%29%287%2F15%29T
18=%282%2F15%29T
T=%2818%2A15%29%2F2
T=135