Respuesta :
Answer:
Each small tray can contain 17 cookies, while each large tray can contain 39 cookies.
Step-by-step explanation:
Let's set some variables.
[tex]S=[/tex] Small trays, [tex]L=[/tex] Large trays.
[tex]\left \{ {{2S+2L=112} \atop {S+4L=173}} \right. \\\\\left \{ {{2S+2L=112} \atop {S=173-4L}} \right. \\\\\left \{ {{2(173-4L)+2L=112} \atop {S=173-4L}} \right.\\\\\left \{ {{346-8L+2L=112} \atop {S=173-4L}} \right\\\\\left \{ {{346-6L=112} \atop {S=173-4L}} \right\\\\\left \{ {{346-112=6L} \atop {S=173-4L}} \right\\\\\left \{ {{234=6L} \atop {S=173-4L}} \right\\\\\left \{ {{39=L} \atop {S=173-4L}} \right\\\\\left \{ {{39=L} \atop {S=173-4(39)}} \right[/tex]
[tex]\left \{ {{39=L} \atop {S=173-4(39)}} \right\\\\\left \{ {{39=L} \atop {S=173-156}} \right\\\\\left \{ {{39=L} \atop {S=17}} \right[/tex]
So each small tray can contain 17 cookies, while each large tray can contain 39 cookies.
