Question

Andrew buys 975 green peppers and 1,250 hot chili peppers. He uses all of those peppers to make the two types of sauce. Part A Write a system of equations that shows how Andrew can use the peppers to make x pints of Sauce I and y pints of Sauce II. Then graph and solve the system. Explain what information is given by the solution of the system.Part B How many of each type of pepper will Andrew use for each type of sauce? Explain. For a second batch of Sauce 1 and Sauce II, Andrew plans to use 3,180 green peppers and 5,560 hot chili peppers. Part A Write a system of equations that shows how Andrew can use the peppers to make x pints of Sauce I and y pints of Sauce II. Identify and describe a method you could use to solve this system. Explain your choice and give the solution

Answer 1

Andrew buys :

• green peppers = 975
• hot chilli peppers = 1,250

Part A

He uses green peppers (975) to make,

• x pints of Sauce I
• y pints of Sauce II

So, equation will be,

=> x + y = 975 .........(i)

Simillarly he uses hot chilli peppers (1,250) to make,

• x pints of Sauce I
• y pints of Sauce II

So, 2nd equation will be,

=> x + y = 1,250 .........(ii)