When Erica sells 80 cups of lemonade and 100cups of iced tea, she earns $155. When she sells 100 cups of lemonade and 200 cups of iced tea, she earns 250. How much does she charge for one cup of iced tea?

Hence, 3a + (2b + c) = (3a +2b) +c Justifies  Associative property

Step-by-step explanation:

Associative property:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

For example 2 +(7 + 5)=(2 + 7) + 5

Hence, 3a + (2b + c) = (3a +2b) +c Justifies  Associative property

Identity property :

Property is that multiplying any number by 1 allows the number to keep its identity.

For example 14 x 1 = 14

Distributive property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

A(B+C)=AB + AC

For example 2(x+y)=2x+2y

Commutative property:

The Commutative property states that order does not matter. Multiplication and addition are commutative.

Multiplication and addition are commutative.  

a × b = b × a

For example 2 × 3 = 3 × 2