Respuesta :
Answer:
Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.
Step-by-step explanation:
Let number of cups of juice in each packet of orange be 'x'.
Let number of cups of juice in each pack of apples be 'y'.
Given:
On Tuesday;
Number of packets of oranges = 8
Number of packets of apples = 6 packets.
Amount of fruit juice = 34 cups
So we can say that;
Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.
framing in equation form we get;
[tex]8x+6y=34 \ \ \ \ equation \ 1[/tex]
On Wednesday;
Number of packets of oranges = 14
Number of packets of apples = 6
Amount of fruit juice = 46 cups
So we can say that;
Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.
framing in equation form we get;
[tex]14x+6y=46 \ \ \ \ equation \ 2[/tex]
Now Subtracting equation 1 from equation we get;
[tex]14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12[/tex]
Now dividing both side by 6 we get;
[tex]\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups[/tex]
Now we will substitute the value of 'x' in equation 1 we get;
[tex]8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34[/tex]
Subtracting both side by 16 we get;
[tex]16+6y-16=34-16\\\\6y= 18[/tex]
Now dividing both side by 6 we get;
[tex]\frac{6y}{6}=\frac{18}{6}\\\\y=3[/tex]
Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.
