Answer:
The number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.
Step-by-step explanation:
Let
x: number of days
y: amount of potatoes
We can express the amount of potatoes in each warehouse using linear equations:
Warehouse #1: [tex] y_1 = 90x+210[/tex]
Warehouse #2: [tex] y_2 = 120x+180[/tex]
We need to find the value of x when [tex]1.2*y_{1} =y_{2}[/tex]
Substituting the expressions for y1 and y2 in [tex]1.2*y_{1} =y_{2}[/tex]:
[tex]1.2*(90x+210) =120x+180[/tex]
Applying distributive law:
[tex]108x+252 =120x+180[/tex]
Solving the equation by subtracting 108x and 180 on both sides:
[tex]108x+252-108x-180 =120x+180-108x-180[/tex]
[tex]252-180 =120x-108x[/tex]
[tex]72 =12x[/tex]
Now we divide by 12 on both sides:
[tex]\frac{72}{12} =\frac{12x}{12}\\6=x\\x=6[/tex]
Therefore, the number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.
