Oliver read for 450 minutes this month. his goal is to read for 10% more minutes next month

945 minutes

Step-by-step explanation:

The complete question is

Oliver read for 450 minutes this month. His goal is to read for 10%, percent more minutes next month. If Oliver meets his goal, how many minutes will he read in all during the two months?

step 1

Find out the number of minutes that Oliver will read the next month

Remember that

100%+10%=110%=110/100=1.10

To find out how many minutes Oliver will read next month, multiply the number of minutes that Oliver read this month by 1.10

450(1.10)= 495 minutes

step 2

Adds the minutes that Oliver read this month plus the minutes that Oliver will read next month

450+495=945 minutes

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)