the diameter of a small pizza is 16cm. this is 2 cm more than two fifths of the diameter of a large pizza. find the diameter of the large pizza?

Subtract 2cm from 16cm and then divide that number by 2. After that multiply it by 5.

Thanks

Let's solve this step-by-step.

Step 1: Let's assign variables to the unknowns.
Let's call the diameter of the large pizza "D."

Step 2: Calculate two fifths of the diameter of the large pizza.
Two fifths of "D" is (2/5)D.

Step 3: Set up the equation based on the given information.
According to the problem, the diameter of the small pizza is 16 cm, which is 2 cm more than two fifths of the diameter of the large pizza. So we can write the equation as:
(2/5)D + 2 = 16

Step 4: Solve the equation.
First, subtract 2 from both sides of the equation:
(2/5)D = 16 - 2
(2/5)D = 14

To get rid of the fraction, we multiply both sides of the equation by 5:
5 * (2/5)D = 14 * 5
2D = 70

Lastly, divide both sides of the equation by 2 to solve for D:
2D/2 = 70/2
D = 35

Step 5: Answer
The diameter of the large pizza is 35 cm.

To find the diameter of the large pizza, we can set up an equation based on the given information.

Let's assume the diameter of the large pizza is 'x' cm.

According to the given information, the diameter of the small pizza is 16 cm, which is 2 cm more than two-fifths of the diameter of the large pizza.

So, we can write the equation as:

16 = (2/5)x + 2

To solve for 'x', we can follow these steps:

Step 1: Subtract 2 from both sides of the equation to isolate (2/5)x.
16 - 2 = (2/5)x + 2 - 2
14 = (2/5)x

Step 2: Multiply both sides of the equation by 5 to cancel out the denominator.
14 * 5 = (2/5)x * 5
70 = 2x

Step 3: Divide both sides of the equation by 2 to solve for 'x'.
70/2 = 2x/2
35 = x

Therefore, the diameter of the large pizza is 35 cm.