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?

Answer 1

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 $5x$.

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.

$x+5x=120$

$6x=120$

$\frac{6x}{6}=\frac{120}{6}$

$x=20$

Number of blocks built by Colton: $5x=5\cdot 20=100$.

Therefore, Colton had build 100 blocks.