An algebra problem by A Former Brilliant Member

Algebra Level 1

A box contains 17 cans of sardines and corned beef. One can of sardines weighs 155 grams. One can of corned beef weighs 230 grams. If the total weight of all the canned goods is 3310 grams, how many cans of corned beef are in the box?


The answer is 9.

A Former Brilliant Member by A Former Brilliant Member

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2 solutions

9 ( 230 ) 9(230) + + 8 ( 155 ) 8(155) = = 3310 3310 grams

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Paul Townsend
Feb 9, 2017

Difference in weight for a single can = (230 - 155) = 75 grams

If all the cans were of corned beef it would weigh (17 * 230) = 3910 g, too heavy by 600g.

So 600/75 = 8 cans must be replaced with sardines.

So finally we arrive at 9 cans of corned beef and 8 of sardines.

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