Question

Brock is training for a Crossfit competition. He began the training completing pull-ups and box jumps origanally, his training plan had him completing and box jumps at a ratio of 5:4 After two months of his training , he decided to focus on his leg strength and adjusted his ratio 2:7. If he completed 63 box jumps at the end of his training , how many pull-ups and hos box jumps at the of his training, how many pull-ups did he completed in the initial stage of training

Answer 1

If the adjusted ratio was 2:7, then

2x is the number of pull-ups

and

7x is the number of box jumps.

You can state that since he completed 63 box jumps at the end of his training, then

7x=63,

x=9

and

2x=18.

The total number of exercises performed is 2x+9x=18+63=81.

As at start the ratio was 5:4, then

5y was the number of pull-ups

and

4y was the number of box jumps.

Therefore, 5y+4y=81,

9y=81,

y=9

and 5y=45, 4y=36.

Answer: Initially: 45 pull-ups and 36 box jumps. At the end: 18 pull-ups and 63 box jumps.