Answer: 14 cakes
Step-by-step explanation:
We have the following data:
Number of gallons the baker has: [tex]4 gallons \frac{16 cups}{1 gallon}=64 cups[/tex]
Number of cups the baker used for one cake: [tex]4,5 cups[/tex]
Now, we can use the Rule of three to find the maximum number of cakes the baker can completely decorate:
[tex]4.5 cups[/tex]-----[tex]1 cake[/tex]
[tex]64 cups[/tex]-----[tex]?[/tex]
Then:
[tex]?=\frac{(64 cups)(1 cake)}{4.5 cups}[/tex]
[tex]?=14,2 cakes \approx 14 cakes[/tex]