Answer: 14 cakes
Explanation:
We have the following data:
Number of gallons the baker has:
![4 gallons (16 cups)/(1 gallon)=64 cups](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9ttm4si1zy7j4p212xf8k05qaisttqy9yz.png)
Number of cups the baker used for one cake:
![4,5 cups](https://img.qammunity.org/2021/formulas/mathematics/middle-school/krsxld8bucpdiaplb6uda4uge1x0rdvjub.png)
Now, we can use the Rule of three to find the maximum number of cakes the baker can completely decorate:
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![1 cake](https://img.qammunity.org/2021/formulas/mathematics/middle-school/korns4bnpgoyfleqc1t0k2ecr90y5ny75i.png)
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![?](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3wowa73adwqnkkc5uxhknuuz3t09xppz2q.png)
Then:
![?=((64 cups)(1 cake))/(4.5 cups)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uyyzox0ta1gwn108h8rjwj7vtbaceqxuhs.png)
![?=14,2 cakes \approx 14 cakes](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pmnojyhc16m7udpn8y8qedm67sprw2txzb.png)