1. **Problem Statement:** Miranda, Sharlene, and Jessica each buy exactly two different items from the cafeteria: Orange juice ($4.75), Apple pie ($6.00), Cup cake ($6.50), and Fruit bowl ($9.50). No two people have the same order. Sharlene has only $20.00 to spend, Jessica spends the most money, and we need to find Miranda's order. 2. **Step 1: List all possible two-item combinations and their total costs:** - Orange juice + Apple pie = $4.75 + $6.00 = $10.75 - Orange juice + Cup cake = $4.75 + $6.50 = $11.25 - Orange juice + Fruit bowl = $4.75 + $9.50 = $14.25 - Apple pie + Cup cake = $6.00 + $6.50 = $12.50 - Apple pie + Fruit bowl = $6.00 + $9.50 = $15.50 - Cup cake + Fruit bowl = $6.50 + $9.50 = $16.00 3. **Step 2: Apply constraints:** - Sharlene has only $20.00, so any combination is possible for her since all totals are under $20. - Jessica spends the most money, so her total must be the highest among the three. - No two people have the same order. 4. **Step 3: Determine Jessica's order:** Jessica must have the most expensive combination. The highest total is $16.00 (Cup cake + Fruit bowl). So, Jessica's order is Cup cake + Fruit bowl. 5. **Step 4: Determine Sharlene's order:** Sharlene has $20.00, so she can afford any combination. Since Jessica took the most expensive, Sharlene must have a combination less than $16.00. Possible totals less than $16.00 are $10.75, $11.25, $12.50, and $14.25, and $15.50. 6. **Step 5: Determine Miranda's order:** Miranda must have a different order from Jessica and Sharlene. We try to assign Sharlene a combination that fits her budget and leaves a unique combination for Miranda. 7. **Step 6: Try Sharlene with Apple pie + Fruit bowl ($15.50):** - Sharlene: Apple pie + Fruit bowl = $15.50 - Jessica: Cup cake + Fruit bowl = $16.00 - Miranda: Remaining combinations are Orange juice + Apple pie ($10.75), Orange juice + Cup cake ($11.25) 8. **Step 7: Miranda's order is Orange juice + Cup cake ($11.25) or Orange juice + Apple pie ($10.75).** Both are valid and unique. 9. **Step 8: Justify the answer:** - Jessica spends the most ($16.00). - Sharlene spends $15.50, under her $20 limit. - Miranda's order is unique and different from the others. **Final answer:** Miranda's order is Orange juice and Cup cake. This satisfies all conditions: unique orders, Sharlene under $20, Jessica spends the most.