Homework Help: Math

Posted by Rezu on Tuesday, April 24, 2012 at 7:44pm.

Three ducks and two ducklings weigh 32 kg. Four ducks and three ducklings weigh 44kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling?
20kgs?

Math - Damon, Tuesday, April 24, 2012 at 7:52pm
3 D + 2 d = 32
4 D + 3 d = 44

multiply first by 3, second by 2

9 D + 6 d = 96
8 D + 6 d = 88 subtract
----------------
D = 8
so 3*8 + 2 d = 32
2 d = 8
d = 4
so
2(8) + 1(4) = 20
Math - Rezu, Tuesday, April 24, 2012 at 8:19pm
Thank You!

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