Question

Karen purchased 3 gallons of yellow paint and 4 gallons on blue paint from the hardware store. The total cost was $105. Yellow paint

and blue paint sell for the same price per gallon. Which THREE statements are correct?


A) 7x = the total cost

B)The price per gallon is $7.

C)3x + 4x = 105 models Karen's purchase

D)(3x)(4x) - 105 models Karen's purchase

E) 3x + 4x = (total gallons)(price per gallon)
yeah

Answer 1

To find the price per gallon, set up an equation using the given information. Solve the equation to find the price per gallon. Three statements are correct: A, B, and C.

Step-by-step explanation:

To find the price per gallon, we need to set up an equation using the given information. Let's assume the price per gallon is x. Since Karen purchased 3 gallons of yellow paint and 4 gallons of blue paint, the total cost is $105. So, we can write the equation as:

3x + 4x = 105

Combining like terms, we get:

7x = 105

Dividing both sides of the equation by 7, we find that:

x = 15

Therefore, statement A is correct. The total cost is represented by 7x and is equal to $105.

Since the price per gallon is x, which is equal to 15, statement B is incorrect. The price per gallon is not $7.

Statement C is correct as well. 3x represents the cost of 3 gallons of yellow paint, and 4x represents the cost of 4 gallons of blue paint. Adding them together, we get 3x + 4x = 7x, which is equal to $105.