Troop 200 sold cider and donuts to raise money for charity. they sold small boxes of donut holes
for $1.25 and cider for $2.50 a gallon. in order to cover
their expenses they need to raise at least $100. write and graph an inequality.

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