You are painting your dining room white and your living room blue. You spend $132 on 5 cans of paint. The white paint costs $24 per can, and the blue costs $28 per can.

a. Which equation represents how many cans of each color you bought? Select all that apply.

1. 24x+28(5-x)=132 <<
2. 24x+28(x-5)=132
3. 24(5-x)+28(5-x)=132
4. 24(5-x)+28x=132 <<
5. 24(x-5)+28x=132

b. How much would you have saved by switching the colors of the dining room and living room?

You would have saved $_

explain.
__________________________

((PLEAS HELPP))

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, considering that 5 cans were bought, there are two options:

x cans of white paint and 5 - x cans of blue paint.

5 - x cans of white paint and x cans of blue paint.

Hence the equations are given by:

1. 24x+28(5-x)=132.

4. 24(5-x)+28x=132.

The solution for x is given by:

120 - 24x + 28x = 132

3x = 12

x = 4.

Considering the possible solution, of 4 cans of blue paint and 1 can of white paint.

Exchanging the colors, the price would be of:

4 x 24 + 1 x 28 = 124.

132 - 124 = $8.

You would have saved $8 by switching the colors of the dining room and living room.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1