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

100 blocks.

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`

`(6x)/(6)=(120)/(6)`

`x=20`

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

Therefore, Colton had build 100 blocks.