Maggie is buying party favors for her birthday party. She has $5.00 to spend. She can buy pencils for $0.50 each, rubber balls for $1.00 each, and yo-yos for $1.50 each. How many different combinations of these party favors can she buy with $5.00? 25pt

Maggie can buy 10 pencils, 5 rubber balls, and 3 yo-yos.

You just divide 5.00 but the price of each item to see how much you can buy without spending too much.

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)