(a) I am making two kinds of cookies: chocolate chip and lemon cookies.

Chocolate Chip Cookies

It takes 0.250.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.505.50 cups of sugar. How many batches of cookies can I make?

I can make
batches of chocolate chip cookies.

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(b)
Lemon Cookies

It takes 0.750.75 cups of sugar to make a batch of lemon cookies. I have 5.55.5 cups of sugar. How many batches can I make?

I can make
batches of lemon cookies.

You may use the scratchpad to show your work.

Enter your answer as a fraction.

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)