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.

Question

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WaywardDelaney WaywardDelaney · Answer 1 · 2019-12-10T09:13:48+01:00

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 = [tex]\frac{400}{1.25}[/tex]

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