Respuesta :

"[tex]\frac{2}{3}\text{ cup of sugar}[/tex] per [tex]4\text{ teaspoons vanilla}[/tex]" is what you are given

  • Unit rate for teaspoon per cup: [tex]x\text{ teaspoons vanilla}\divy\text{ cups sugar}=\frac{x}{y}\text{ teaspoons/cup}[/tex]
  • [tex]x=4[/tex] and [tex]y=\frac{2}{3}[/tex], therefore your unit rate is [tex](4\div\frac{2}{3})\text{ teaspoons/cup}[/tex]
  • Dividing the numbers: [tex]4\div\frac{2}{3}=4\times\frac{3}{2}=2\times3=6[/tex] -- this means: [tex]6\text{ teaspoons/cup}[/tex]