Camille buys a cake for $\$24.99$ . She also buys $12$ brownies. Each brownie costs the same amount. She spends $\$39.99$ on the cake and the brownies.
Camille finds the cost of each brownie by calculating $(39.99\ -\ 24.99)\ \div\ 12$ . Tanya finds the cost of each brownie by solving the equation $39.99\ +\ 12b\ =\ 24.99$ , where $b$ is the cost of each brownie.
Which approach uses the sequence of operations necessary to find the cost of each brownie: Camille’s, Tanya’s, both, or neither? Explain why.
Respond in the space provided.
Camille's approach uses the correct sequence of operations to find the cost of each brownie. She first subtracts the cost of the cake from the total amount spent, then divides by the number of brownies. This sequence of operations correctly accounts for the total amount spent and divides it equally among the brownies.
Tanya's approach, on the other hand, does not use the correct sequence of operations. She adds the cost of the cake to the total amount spent, then sets it equal to the cost of the brownies. This equation will not yield the correct cost of each brownie as it does not correctly account for the total amount spent.
Therefore, Camille's approach is the correct one to find the cost of each brownie.