Question

In the basketball some baskets are worth two points others are worth three points in one game the ratio of three point baskets to three point tries for one team was 2:7 if the team scored 30 points from three point baskets how many three point tries did the team have ?

Answer 1

Let
`b` be the number of three points baskets, and
`t` be the number of three points tries. We are given

`(b)/(t) = (2)/(7) \iff 2t=7b`

Also, we know that the team scored 30 points from three points baskest. Since these baskest are worth 3 points, we have

`3b=30 \iff b = 10`

Now, we also know that
`2t=7b`. If we plug the known value for b, we can solve for t:

`2t = 7\cdot 10 \iff 2t = 70 \iff t = 35`