Question

b. nathan’s sister, linda, offers to help him make some of the kebabs. nathan wants to set aside enough fruit for her to make 3 of the kebabs. how can you rewrite 12b + 12p so that it shows the fruit for nathan’s kebabs and the fruit for linda’s kebabs separately?

Explanation:

Step1: Determine Linda's fruit

Linda makes 3 kebabs. Let's assume each kebab has \( b \) of one fruit and \( p \) of another, so Linda's fruit is \( 3b + 3p \).

Step2: Find Nathan's fruit

Total fruit is \( 12b + 12p \). Subtract Linda's fruit from total: \( (12b + 12p)-(3b + 3p)=9b + 9p \).

Step3: Rewrite total

Now, total fruit is Nathan's plus Linda's: \( (9b + 9p)+(3b + 3p) \).

Answer:

\( (9b + 9p) + (3b + 3p) \) (or equivalent factored forms like \( 9(b + p)+3(b + p) \))