Question

Nabuko practices the violin at least 12 hours per week. She practices for three-fourths of an hour each session. If Nabuko has already practiced 3 hours in one week, how many sessions remain to meet or exceed her weekly practice goal?

Answer 1

Let x be the number of sessions. Then
3/4x ≥ 12
3/4x + 3 ≥ 12
3/4x ≥ 9
x ≥ (9 x 4)/3 = 12

Therefore, 12 sessions remain to meet or exceed her weekly practice goal.