Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle? A. 144 blocks B. 100 blocks C. 24 blocks D. 20 blocks
Question
Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle? A. 144 blocks B. 100 blocks C. 24 blocks D. 20 blocks
Solution
To solve this problem, we first need to understand that Colton and Gage together built the castle with 120 blocks.
Since Colton is 5 times faster than Gage, we can say that for every 6 blocks used, Colton built 5 and Gage built 1 (because 5+1=6).
So, if we divide the total number of blocks (120) by the total number of blocks they built together in one cycle (6), we get the number of cycles they completed, which is 20 (because 120/6=20).
Now, if we multiply the number of cycles (20) by the number of blocks Colton built in one cycle (5), we get the total number of blocks Colton built, which is 100 (because 20*5=100).
So, the answer is B. 100 blocks.
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