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 $(39.99\ -\ 24.99)\ \div\ 12$(39.99 − 24.99) ÷ 12 . Tanya finds the cost of each brownie by solving the equation $39.99\ +\ 12b\ =\ 24.99$39.99 + 12b = 24.99 , where $b$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 cost of the cake and brownies, and then divides by the number of brownies. This is the correct sequence of operations needed to find the cost of each brownie.
Tanya's approach does not use the correct sequence of operations. She sets up an incorrect equation where the total cost of the cake and brownies is equal to just the cost of the cake. Then she incorrectly subtracts the total cost by the cost of the cake.
Therefore, Camille's approach uses the correct sequence of operations necessary to find the cost of each brownie.