Question

Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)

Answer 1

Answers:

A: 11(2x-1)

B: 121 cupcakes

Step-by-step explanation:

Part A:

We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

$5(2x -4) + 3(3 + 4x)$

Applying distributive property:

$10x-20+9+12x$

Grouping similar terms:

$22x-11$

Applying common factor $11$:

$11(2x-1)$ This is the simplified expression

Part B:

Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if $x=6$:

$11(2(6)-1)$

$11(12-1)=11(11)=121$ Hence, Mrs. Jones baked 121 cupcakes last week