Darren can prepare 3 plates, and each plate will have 18 crackers and 5 slices of cheese.
To determine the greatest number of plates Darren can prepare with the given number of crackers and slices of cheese, we need to find the greatest common divisor (GCD) of the two quantities.
Darren has 54 crackers and 15 slices of cheese. The GCD of 54 and 15 is 3. This means that the greatest number of identical plates he can prepare is 3 plates.
To find the number of slices of cheese on each plate, we divide the total number of slices of cheese by the number of plates. In this case, 15/3=5. Therefore, each plate Darren makes will have 5 slices of cheese.
In summary, Darren can prepare 3 plates, and each plate will consist of 18 crackers and 5 slices of cheese. The GCD ensures that the distribution is even without any food left over.
Complete ques:
4.) Darren is setting out some snacks for friends he is having over. He has 54 crackers and 15 slices of cheese. If he wants each plate to be identical, with no food left over, what is the greatest number of plates Darren can prepare? 3 How many slices of cheese are on each plate Darren makes?