The table shows the prices of 5 items.

1. Calculate the total cost of all 5 items

$\text{Total cost} = 4.00 + 0.90 + 8.90 + 17.50 + 16.50 = \char36{}47.80$

2. Use the sum and difference to find Glynis's spending

$\text{Glynis's spending} = (47.80 + 11.00) \div 2 = 58.80 \div 2 = \char36{}29.40$

1. Find the total cost of all 5 items and the amount each person spent (building on part a).

Total cost of 5 items = $\char36{}4.00 + \char36{}0.90 + \char36{}8.90 + \char36{}17.50 + \char36{}16.50 = \char36{}47.80$
Since Glynis spent $\char36{}11$ more than Levivia, we can find Levivia's spending:
Levivia's spending = $(\char36{}47.80 - \char36{}11) \div 2 = \char36{}18.40$
Glynis's spending = $\char36{}18.40 + \char36{}11 = \char36{}29.40$

2. Identify the specific items each person bought and determine the cheapest item for each.

Levivia bought 2 items that sum to $\char36{}18.40$. Looking at the prices, the only combination is the Water bottle ($\char36{}17.50$) and the Towel ($\char36{}0.90$).
The cheapest item Levivia bought is the Towel.
Glynis bought the remaining 3 items: Cap ($\char36{}4.00$), Haversack ($\char36{}8.90$), and Sleeping bag ($\char36{}16.50$).
The cheapest item Glynis bought is the Cap.