The states C and D spend a total of ​$54.3 million for tourism. The state C spends ​$1.7 million more than the state D. Find the amount that each state spends on tourism.

The state C spends $1.7 million more than the state D

So C = D + 1.7

C + D = 54.3

Instead of C we can write D + 1.7

So D + 1.7 + D = 54.3

So 2D + 1.7 = 54.3

So 2D = 52.6

D = 26.3 and C = 28

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

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)