Kirk learned to play a total of 14 pieces over the course of 7 weeks of piano lessons. In all, how many weeks of piano lessons will Kirk need before he will be able to play a total of 26 pieces? Solve using unit rates.
1 answer
To find the unit rate of learning pieces per week, we divide the total number of pieces learned by the number of weeks it took to learn them: $\frac{14 \text{ pieces}}{7 \text{ weeks}} = 2 \text{ pieces/week}.$ Since Kirk is learning pieces at a rate of 2 pieces/week, it will take $\frac{26 \text{ pieces}}{2 \text{ pieces/week}} = \boxed{13}$ weeks for him to be able to play a total of 26 pieces.