Answer:
A) 22x-11
B) 121 cupcakes
Step-by-step 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:
[tex]5(2x - 4) + 3(3 + 4x) = 10x - 20 + 9 + 12x[/tex]
We group similar terms on the right to obtain:
[tex]5(2x - 4) + 3(3 + 4x) = 10x + 12x- 20 + 9 [/tex]
Combine similar terms on the right to get:
[tex]5(2x - 4) + 3(3 + 4x) = 22x-11 [/tex]
Therefore the simplified expression is
[tex]22x - 11[/tex]
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
[tex]22(6) - 11 = 132 - 11 = 121[/tex]
Therefore she baked 121 cupcakes last week.
