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?
Accepted Solution
A:
Answer:100 blocks.Step-by-step explanation:Let x represent number of blocks built by Gage.We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be [tex]5x[/tex].We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.[tex]x+5x=120[/tex][tex]6x=120[/tex][tex]\frac{6x}{6}=\frac{120}{6}[/tex][tex]x=20[/tex]Number of blocks built by Colton: [tex]5x=5\cdot 20=100[/tex].Therefore, Colton had build 100 blocks.