Mieko practice shooting a basketball for 7/10 of her total practice time. During the other time she practiced dribbling, if she practiced dribbling for 18 minutes, how many minutes did she practice shooting?

t = total practice time

s = shooting practice time

d = dribbling practice time

s = ( 7 / 10 ) t = 0.7 t

d = t - s = t - 0.7 t = 0.3 t

d = 18 min

0.3 t = 18 Divide both sides by 0.3

t = 18 / 0.3 = 60 min

s = 0.7 t = 0.7 * 60 = 42 min

Didn’t get it

It’s 42

To find out how many minutes Mieko practiced shooting, we first need to determine her total practice time. We can do this by knowing that she practiced dribbling for the remaining time.

Given that Mieko practiced dribbling for 18 minutes, we have the equation:

Total Practice Time = Shooting Practice Time + Dribbling Practice Time

We are given that Mieko practiced dribbling for 7/10 (or 7 out of 10 parts) of her total practice time. Therefore, the shooting practice time is given by:

Shooting Practice Time = Total Practice Time - Dribbling Practice Time

Since Mieko practiced dribbling for 18 minutes and this is 7/10 of the total practice time, we can set up the equation as follows:

18 = (7/10) × Total Practice Time

To find Total Practice Time, we can isolate it by multiplying both sides of the equation by the reciprocal of (7/10), which is (10/7):

Total Practice Time = 18 × (10/7)

Simplifying this calculation, we find:

Total Practice Time = 180/7

Hence, Mieko practiced for 180/7 minutes in total.

Now, to find the shooting practice time, we substitute this total into the earlier equation:

Shooting Practice Time = (180/7) - 18

Calculating this, we get:

Shooting Practice Time ≈ 25.7 minutes

Therefore, Mieko practiced shooting for approximately 25.7 minutes.