Camille buys a cake for $\$24.99$$24.99 . She also buys $12$12 brownies. Each brownie costs the same amount. She spends $\$39.99$$39.99 on the cake and the brownies.
Camille finds the cost of each brownie by calculating (39.99 − 24.99) ÷ 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.
Camille's approach uses the sequence of operations necessary to find the cost of each brownie.
Camille subtracts the cost of the cake from the total amount spent to find the cost of the brownies, then divides that amount by the number of brownies purchased. This accurately represents the process of finding the cost of each brownie.
On the other hand, Tanya's approach adds the cost of the brownies to the total amount spent, which does not accurately represent the process of finding the cost of each brownie. Therefore, Tanya's approach does not use the correct sequence of operations.