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?

Respuesta :

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.

Answer:

100 blocks!

Step-by-step explanation:

i just did this quiz and got it right! hope this helps!! :DD