2. You have $32.00 in your pocket. You would like to buy as many pairs of socks as you can. Each pair of socks costs $2.99.
There is a 20% discount on all socks. Since a new law was
passed, there is no sales tax on socks. How many pairs of socks
can you purchase?

Step-by-step explanation:  5 17 7 33

2.99(0.8) × pairs of socks = 32      

the discount is 20% so socks are at 80% of the original cost

this is the discounted price of the socks time pairs bought equal to 32

pairs of socks = 32 /2.99(0.8)      largest whole number

                        = 13.378               13 pairs of socks       drop the fractional part

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)