SOLUTION: We think we have the answer, but the answer does not appear on the worksheet as a possible solution.
A set of children's blocks contains 3 shapes, longs, flats & cubes. There a
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A set of children's blocks contains 3 shapes, longs, flats & cubes. There a
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Question 111232: We think we have the answer, but the answer does not appear on the worksheet as a possible solution.
A set of children's blocks contains 3 shapes, longs, flats & cubes. There are 3 times as many longs as cubes and 30 fewer flats than longs. If there are 600 blocks in all, how many longs are there?
600 = c + l + f
c = 3l
f = l -30
600 = 3l + l + l-30
600 = 5l - 30
630 = 5l
l = 126
Is this correct, or has something been transposed? Found 3 solutions by checkley71, josmiceli, solver91311:Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website! YOUR WORK LOOKS GOOD. NOW DO THE PROOF.
600=126+126*3+(126-30)
600=126+378+96
600=600 VOILA! THE ANSWERS CHECK.
You can put this solution on YOUR website! Think about your basic assumptions. The problem says
there are 3 times as many longs as cubes. So, if L = longs
and C = cubes, then l is quite a bit bigger than C.
But you said , which makes C three times bigger than L. this is correct same as yours answer
check answer OK
You can put this solution on YOUR website! Your first and third equations are correct, but the second one should be .
:
That makes your first substitution equation:
:
So, 270 long blocks, 90 cubes, and 240 flats.
270 is three times 90 and 30 more than 240, and 270+90+240=600, so the answer checks.
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