Final answer:
25 cups will fit in a dispenser that is 30cm high.
Step-by-step explanation:
To find the number of cups that will fit in a dispenser that is 30cm high, we need to determine how many cups we can stack on top of each other until we reach a height of 30cm. The first cup is 10cm high and each cup after that adds 0.8cm to the height of the stack. We can set up an equation to solve for the number of cups:
10cm + (0.8cm x number of cups) = 30cm
Simplifying the equation, we get:
0.8cm x number of cups = 20cm
Dividing both sides of the equation by 0.8cm, we find:
number of cups = 20cm / 0.8cm = 25
Therefore, 25 cups will fit in the dispenser that is 30cm high.