Respuesta :
Let the amount of cranberry juice used for making fruit punch = x
Since, the recipe requires twice as much orange juice as cranberry juice.
So, the amount of orange juice used for making fruit punch = [tex]2 \times x = 2x[/tex]
Since, the recipe requires 8 times as much ginger ale as cranberry juice.
So, the amount of ginger ale used for making fruit punch = [tex]8 \times x = 8x[/tex]
Since, he plans to make 176 ounces of punch.
So, x+2x +8x = 176
11x = 176
x = [tex]\frac{176}{11}[/tex]
x = 16.
Amount of cranberry juice = 16
Amount of orange juice = 2x = 2 x 16 = 32
Amount of ginger ale = 8x = 8 x 16 = 128
Let the amount of orange juice is represented by x ounces, cranberry juice is represented by y ounces and ginger ale is represented by z ounces.
Since, the orange juice is twice the cranberry juice, we get
[tex]x=2y[/tex] ..... (1)
ginger ale is 8 times the cranberry juice.
[tex]z=8y[/tex] ... (2)
The total amount is given is 176 ounces
=> [tex]x+y+z= 176[/tex] .... (3)
Substituting the values of x and z in terms of y in equation 3.
[tex]2y+8y+y=176 11y = 176 y = 16 ounce[/tex]
Hence Orange juice = 2*16 = 32 ounce
Ginger Ale = 8*16 = 128 ounce
Cranberry juice = 16 ounce
