Answer:
The equation for the inequality is , c + d = 200
And , $ 2.50 c + $ 1.25 d = $ 100
Step-by-step explanation:
Given as :
The total quantity of cider and donuts for charity = 200
The price of donuts holes =$ 1.25
The price of cider = $ 2.50
The total price money for the cider and donuts = $ 100
Let the quantity of each donuts = d
And The quantity of cider = c
Now, According to question
The total quantity of cider and donuts for charity = 200
Or, The quantity of cider + the quantity of each donuts = 200
Or, c + d = 200 ..........A
And , $ 2.50 c + $ 1.25 d = $ 100 ............B
So, Solving equations
2.50 × ( c + d ) = 2.50 × 200
I.e 2.50 c + 2.50 d = 500
And 2.50 c + 1.25 d = 100
Or, ( 2.50 c + 2.50 d ) - ( 2.50 c + 1.25 d ) = 500 - 100
Or, (2.50 c - 2.50 c ) + ( 2.50 d - 1.25 d ) = 400
Or, 0 + 1.25 d = 400
∴ d =
I.e d = 320
The quantity of donuts = 320
Hence The equation for the inequality is , c + d = 200
And , $ 2.50 c + $ 1.25 d = $ 100 Answer