Answer:
He can buy 3 scoops of salts and 4 scoops of pepper or 4 scoops of salts and 3 scoops of pepper spent maximum.
Step-by-step explanation:
Given that:
The cost of salt = 50 cents / scoop =$ 0.5 / scoop
The cost of pepper =75 cents / scoop = $ 0.75 / scoop
Let he buys x scoops of salt and y scoops of pepper.
As he plans to bring home no more than 8 scoops of seasoning, so
The total cost of x scoops of salt and y scoops of pepper = 0.5x+0.75y
As he wants to spend less than $5, so
Here, and x,y are counting numbers.
On plotting the graph of equations (ii) and (ii), the possible solution is the integral values in the shaded as shown in the figure.
The maximum possible integral values, for expances less than $5, are (x,y)=(3,4), (4,3).
Hence, he can buy 3 scoops of salts and 4 scoops of pepper or 4 scoops of salts and 3 scoops of pepper to spent maximum.
