Question

mr. rijo bought 49 bags of soil one week and 28 bags of soil the next week. which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought?

\\(49 + 28 = 4(7 + 7)\\)
\\(49 + 28 = (7)(7) + (14)(2)\\)
\\(49 + 28 = (7)(14) + (7)(7)\\)
\\(49 + 28 = 7(7 + 4)\\)

Explanation:

Find the Greatest Common Factor

Using the Greatest Common Factor knowledge point

$$
LATEXBLOCK0
$$

Apply the Distributive Property

Using the Distributive Property knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) \(49 + 28 = 4(7 + 7)\)
• (B) \(49 + 28 = (7)(7) + (14)(2)\)
• (C) \(49 + 28 = (7)(14) + (7)(7)\)
• (D) \(49 + 28 = 7(7 + 4)\) (Correct answer)