Question

Jason learned to play a total of 4 pieces over the course of 2 weeks of piano lessons. After 3 weeks of piano lessons, how many total pieces will Jason be able to play? Solve using unit rates.

Answer 1

Let pieces be x

ATQ

$\\ \sf\longmapsto 2:4=3:x$

$\\ \sf\longmapsto \dfrac{2}{4}=\dfrac{3}{x}$

$\\ \sf\longmapsto \dfrac{1}{2}=\dfrac{3}{x}$

$\\ \sf\longmapsto x=6$

Answer 2

$\displaystyle \rm 2w-4 \ piecec \\ . \ \ \ \Big \slash \!\!\!\!\! \Big\backslash\\3w-x \ piecec \\\\\\ 2x=4\cdot 3 \\\\ \boxed{\rm x=6 \ piecec}$