Mrs, Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair, Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold? \( \begin{array}{c}63+36=(3)(21)+(9)(4) \\ 63+36=(7)(9)+(12)(3) \\ 63+36=9(7+4) \\ 63+36=3(21+9)\end{array} \)

To apply the **distributive property** to the total number of bracelets Mrs. Adenan sold, we start with the expression: \[ 63 + 36 \] The distributive property states that: \[ a \times b + a \times c = a \times (b + c) \] In this context: - **63** can be factored as \( 9 \times 7 \) - **36** can be factored as \( 9 \times 4 \) So, the expression becomes: \[ 9 \times 7 + 9 \times 4 \] Applying the distributive property: \[ 9 \times (7 + 4) \] Simplifying inside the parentheses: \[ 9 \times 11 = 99 \] Thus, the correct expression that applies the distributive property is: \[ 63 + 36 = 9(7 + 4) \] **Answer:** 63 + 36 = 9 ( 7 + 4 )