Corey buys cookies and oranges at the store.

Question

He pays a total of $28.11.
He pays $6.75 for the cookies.
He buys 6 bags of oranges that each cost the same amount.

Which equation or tape diagram could be used to represent the context if bb represents how much each bag of oranges costs?

Answer 1

To determine the equation that represents the situation, we can break down the total amount Corey spent into the cost of the cookies and the cost of the oranges.

Corey pays $6.75 for the cookies. He buys 6 bags of oranges, and if we let \( b \) represent the cost of each bag of oranges, then the total cost for the oranges would be \( 6b \).

The total amount spent is the sum of the cost of the cookies and the cost of the oranges. We can represent this as an equation:

\[ 6b + 6.75 = 28.11 \]

This equation indicates that the total amount spent on oranges (6 times the cost of one bag, \( 6b \)) plus the cost of cookies ($6.75) equals the total expense ($28.11).

Thus, the correct equation to represent the context is:

\[ 6b + 6.75 = 28.11 \]