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)
irt A: What is the simplified form of the expression above?
irt B: If x = 6, how many cupcakes did Mrs. Jones bake last week?​

Answer 1

A) 22x-11

B) 121 cupcakes

Explanation:

The expression that shows how many peanut butter

cupcakes she baked is 5 (2x-4) + 3(3+4x).

To simplify this, we need to use the distributive property:

We expand using the distributive property to get:

`5(2x - 4) + 3(3 + 4x) = 10x - 20 + 9 + 12x`

We group similar terms on the right to obtain:

`5(2x - 4) + 3(3 + 4x) = 10x + 12x- 20 + 9`

Combine similar terms on the right to get:

`5(2x - 4) + 3(3 + 4x) = 22x-11`

Therefore the simplified expression is

`22x - 11`

B) We want to find how many cupcakes Mrs Jones baked last week, when x=6.

We substitute 6 into the simplified expression for x to get

`22(6) - 11 = 132 - 11 = 121`

Therefore she baked 121 cupcakes last week.