Answer:
Selena went to a fruit market with some money in order to buy apples and bananas. She finds out that cost of each banana and each apple is [tex]b[/tex] cents. She has 2 cents less than the total amount for which she could buy 8 apples and 4 bananas. Write an expression that represents the total amount Selena had.
[tex]12b-2[/tex]
Step-by-step explanation:
Given expression:
[tex]8b+4b-2[/tex]
To write a story that represents the given expression and find the equivalent expression.
Solution:
Selena went to a fruit market with some money in order to buy apples and bananas. She finds out that cost of each banana and each apple is [tex]b[/tex] cents. She has 2 cents less than the total amount for which she could buy 8 apples and 4 bananas. Write an expression that represents the total amount Selena had.
If 1 apple cost = [tex]b[/tex] cents
Then 8 apples will cost = [tex]8b[/tex] cents
If 1 banana cost = [tex]b[/tex] cents
Then 4 bananas will cost = [tex]4b[/tex] cents
Total cost of 8 apple and 4 bananas = [tex](8b+4b)[/tex] cents
Selena has 2 cents less.
Amount Selena has = [tex](8b+4b-2)[/tex] cents
The expression can be simplified by adding the like terms.
[tex]8b+4b-2[/tex]
⇒ [tex]12b-2[/tex] (Answer)