Respuesta :
Answer:
The number of pitchers produced by each container = 16 .
Step-by-step explanation:
Given,
- Brand A requires [tex]\frac{1}{2}[/tex] cup of a mix for a pitcher
- Brand B requires [tex]\frac{1}{4}[/tex] cup of a mix for a pitcher
- Both containers produce the same number of pitchers
- 2 Containers :
- Brand A : contains four more cups of mix than Brand B
- Brand B : contains [tex]x[/tex] cups of mix
⇒∴ The number of cups of mix in brand A = [tex]x+4[/tex];
- Number of pitchers = [tex]\frac{TOTAL.NO.OF.MIX}{NO.OF.MIX.FOR.ONE }[/tex]
Number of pitchers produced by the containers :
- Brand A : [tex]=\frac{x+4}{\frac{1}{2} } \\=2*(x+4)\\=2x+8[/tex]
- Brand B : [tex]=\frac{x}{\frac{1}{4} }\\=4*x\\=4x[/tex]
Since both are equal:
⇒[tex]2x+8 = 4x\\8=2x\\x=4[/tex]
Thus the number of cups of mix in Brand B = [tex]x=4[/tex];
The number of pitchers produced by each container :
= [tex]\frac{4}{\frac{1}{4} } \\= 4*4\\=16[/tex]
∴The number of pitchers produced by each container = 16.
Answer:
The number of pitchers produced by each container = 16.