Three adults and four children must pay $85. two adults and three children must pay $60. find the price of the adults ticket and the price of a child's ticket

Adults ticket price = $15

Child's ticket = $10

Step-by-step explanation:

Let, Adults ticket price = X

Child's ticket price = Y

According to the question,

3X + 4Y = 85(i)

2X + 3Y = 60(ii)

Multiplying (i) with 2, and (ii) with 3, we can get,

6X + 8Y = 170 (iii)

6X + 9Y = 180(iv)

(iii) - (iv), we can get

8Y - 9Y = 170-180

-Y = -10

Y= 10 (By multiplying -1)

Putting Y = 10 in equation (i)

3X + 4Y = 85

3X + 4*10 = 85

3X + 40 = 85

3X = 85 - 40

3X = 45

X = 45/3

X = 15

Therefore the adult ticket price is $15, and the child's ticket price is $10.

your answer is -9

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)