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Colton and Gage were building a castle together. Colton was 3 times as fast at building the castle than Gage. If it takes 80 blocks to build the castle, how many blocks did Colton build on the castle? A. 20 blocks B. 40 blocks C. 60 blocks D. 80 blocks

Question

Colton and Gage were building a castle together. Colton was 3 times as fast at building the castle than Gage. If it takes 80 blocks to build the castle, how many blocks did Colton build on the castle? A. 20 blocks B. 40 blocks C. 60 blocks D. 80 blocks

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Solution

The problem states that Colton is 3 times as fast as Gage at building the castle. This means that for every block Gage places, Colton places 3.

So, together, for every 4 blocks placed (3 by Colton and 1 by Gage), they are placing 4 blocks.

If it takes 80 blocks to build the castle, we can divide 80 by 4 to find out how many "sets" of blocks they placed. 80 divided by 4 is 20.

So, Gage placed 20 blocks.

Since Colton is 3 times as fast as Gage, he placed 3 times as many blocks. 20 (blocks placed by Gage) times 3 equals 60.

So, Colton placed 60 blocks on the castle.

Therefore, the answer is C. 60 blocks.

This problem has been solved

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