Urgent! 20 Points!
Here is a Scenario... You are the new manager at Trusty Goods Wholesale Produce. You need to figure out how to adjust the amount of produce in your notes after the events of the day:

You got 5 more crates of bananas

Someone returned 2 crates of apples

A worker dropped a crate of grapes (oh no!, you had to throw them out)

You sold a crate of bananas

You sold 5 crates of apples


Can you write an expression to describe your day using:

"a" for crates of apples
"b" for crates of bananas

and "g" for crates of grapes?

Make sure the expression is in simplest form
_________________________________________

Question 2 (3 points)
Explain your steps using sentences.
_________________________________________
_________________________________________
_________________________________________

Respuesta :


1. Here’s the expression: 5b+2a-g-b-5a

Simplify it to: 4b-g-3a

2. First, since you gained 5 crates of bananas, I multiplied +5 by b for bananas to represent the amount of bananas earned. This is where I got 5b. Next, you got 2 more crates of apples back, so you gained 2 crates of apples. This can be written as +2 multiplied by a (2a) to represent the amount of apples gained. After that, you dropped a crate of grapes which caused you to loose some. This must be written as negative or subtraction, since you are loosing grapes, not gaining any. So, I wrote it as -1 multiplied by g to get -g, to represent the grapes lost. Next, you sold, or lost, a crate of bananas. This also must be written as subtraction, so I wrote -1 multiplied by b to get -b for the amount of bananas lost. After that, I sold, or lost, 5 crates of apples. Again, I had to write this in subtraction form. So, I multiplied -5 by a to get -5a for the amount of apples lost. After all that, I combined it into the expression
5b+2a-g-b-5a. Finally, I had to simplify this expression by combining like terms. 2a and -5a are like terms, so I combined them to -3a. 5b and -b are like terms, so I combined them into 4b. -g has no like terms, so I left it alone. At last, I combined that into my final expression:
4b-g-3a

Hope this helped! Comment if you have any questions! :)