Certainly! To determine the first month in which the cumulative total number of candy bars sold in Manila exceeds the cumulative total sold in Seoul, let’s examine the sales data for both cities month by month.
Here are the monthly sales for each city:
- Seoul's monthly sales: [120, 110, 130, 140, 150]
- Manila's monthly sales: [100, 105, 115, 150, 160]
We need to track the cumulative sales totals for both Seoul and Manila as we progress through each month. Let’s summarize the cumulative sales step-by-step for each month.
### Month 1:
- Seoul's cumulative sales: 120
- Manila's cumulative sales: 100
At the end of month 1, Manila has not yet exceeded Seoul.
### Month 2:
- Seoul's cumulative sales: 120 + 110 = 230
- Manila's cumulative sales: 100 + 105 = 205
At the end of month 2, Manila still has not exceeded Seoul.
### Month 3:
- Seoul's cumulative sales: 230 + 130 = 360
- Manila's cumulative sales: 205 + 115 = 320
At the end of month 3, Manila still has not exceeded Seoul.
### Month 4:
- Seoul's cumulative sales: 360 + 140 = 500
- Manila's cumulative sales: 320 + 150 = 470
At the end of month 4, Manila still has not exceeded Seoul.
### Month 5:
- Seoul's cumulative sales: 500 + 150 = 650
- Manila's cumulative sales: 470 + 160 = 630
At the end of month 5, Manila still has not exceeded Seoul.
Based on this step-by-step tally, we can conclude that Manila never surpasses Seoul in any of the given months.
So, the board will never see a month in which the cumulative total number of candy bars sold in Manila exceeds that sold in Seoul during the first five months.
To reflect this in the numerical result summary:
- Seoul's total cumulative sales after 5 months: 650
- Manila's total cumulative sales after 5 months: 630
- First month when Manila exceeds Seoul: 5
Although it has never happened, it indicates the sales did not exceed within the data reviewed up to month 5.
