SOLUTION: Ben has some marbles. 4/7 of the marbles are red and the rest are blue. If he has 18 blue marbles, how many marbles does Ben have altogether ?

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Question 1144740: Ben has some marbles. 4/7 of the marbles are red and the rest are blue. If he has 18 blue marbles, how many marbles does Ben have altogether ?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

From the condition,    marbles are blue.


Hence,   of the marbles are 18 blue marbles.


It means, that   of the marbles is   = 6 marbles.


Therefore, the number of the blue marbles is 6*7 = 42.


Altogether, Ben has 18 + 42 = 60 marbles.    ANSWER


Solved MENTALLY, without using equations.



Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
Ben has some marbles. 4/7 of the marbles are red and the rest are blue. If he has 18 blue marbles, how many marbles does Ben have altogether ?
With  being red,  is blue.
We then get the following PROPORTION, with T being the total number of marbles:
------ Cross-multiplying
3T = 7(18) ----- Cross-multiplying
T, or total number of marbles =
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