Answer: n = 3
Step-by-step explanation:
Let's denote the number of additional nights Vivian stayed as n. The total cost Vivian paid for staying n additional nights can be expressed as:
Total Cost = Cost of the First Night + Cost of Additional Nights
Given that the cost of the first night is $120 and the cost per additional night is $100, we can write the equation:
420 = 120 + 100n
Now solve for n:
100n = 420 − 120
100n = 300
n = 300/100
n = 3