Answer:
Number of half-gallons containers of frozen yogurt = 28
Number of containers containing 1 gallon of frozen yogurt = 12
Step-by-step explanation:
Let [tex]x[/tex] denotes number of half-gallons containers of frozen yogurt and [tex]y[/tex] denotes number of containers containing 1 gallon of frozen yogurt.
[tex]x+y=40\,\,\,...(i)\\5x+9y=248\,\,\,...(ii)[/tex]
Multiply (i) by 5
[tex]5x+5y=200\,\,\,...(iii)[/tex]
Subtract (iii) from (ii)
[tex](5x+9y)-(5x+5y)=248-200\\5x+9y-5x-5y=48\\4y=48[/tex]
[tex]y=\frac{48}{4}=12[/tex]
Put [tex]y=12[/tex] in (i)
[tex]x+12=40\\x=40-12\\x=28[/tex]
