Question

The length of Adriana's chicken coop is 3x + 12 feet. The length of her garden is 6x - 16 feet. The garden is 2/3 the length of the chicken coop.

What expression could you make to represent the 4 cases of canned food that are each missing 5 cans?

Write an equation that models the problem.

Answer 1

From the given information, we can write the equation to represent the relationship between the length of Adriana's chicken coop and her garden:

(3x + 12) = (2/3)(6x - 16)

Simplifying the equation, we get:

2x + 8 = 4x - 32/3

Subtracting 2x from both sides, we get:

8 = 2x - 32/3

Adding 32/3 to both sides, we get:

8 + 32/3 = 2x

Simplifying, we get:

8*3/3 + 32/3 = 2x

Which gives us:

24 + 32/3 = 2x

To represent the 4 cases of canned food that are each missing 5 cans, we can use the expression:

4*5 = 20 cans

So the expression that represents the 4 cases of canned food that are each missing 5 cans is: 4*5 = 20 cans.

Explanation: