During a clearance event at a supermarket, Liam purchased various

Question

During a clearance event at a supermarket, Liam purchased various amounts of five types of pantry essentials - cans of beans, boxes of pasta, bags of rice, bottles of olive oil, and packs of flour - each with a specific dicount offer. Liam picked up 7 cans of beans for the price of 5, 3 boxes of pasta for the price of 2, 5 bags of rice for the price of 3, 4 bottles of olive oil for the price of 3, and 6 packs of flour for which the price of 5. One of the 5 types of pantry essentials was featured as "Buy two, get the third at 50% off". Which type?

A. Cans of Beans
B. Boxes of Pasta
C. Bags of Rice
D. Bottles of Olive Oil
E. Packs of Flour

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nbh20 · Answer

E. Packs of Flour

Assuming everything is for $1. You buy 2 items for $2. Third item is $.50. So you now have 3 items for $2.50 or 6 items for $5.

RDM42 · Answer

We get 7B for the price of 5 
3P for 2
5R for 3 
4B for 3
6F for 5 
For buying 2 packs, we get third at 50% off. Hence, we can buy 3 packs for the price of 2.5 and 6 packs for the price of 5.

Answer: E (Packs of Flour)

shishimaru · Answer

Special offer: 3 items for the price of 2.5 items. We’ll compare each item’s deal to this offer.

Item  
  Deal  
  Price for 3  
  Matches Offer  
 
  Beans 
 7 for 5 
 2.14 
 No 
 
  Pasta 
 3 for 2 
 2 
 No 
 
  Rice 
 5 for 3 
 1.8 
 No 
 
  Olive Oil 
 4 for 3 
 2.25 
 No 
 
  Flour 
 6 for 5 
 2.5 
 Yes

Calculations:    
Beans: 7 for 5 → 3 for  \frac{5}{7} \cdot 3 \approx 2.14 . 
Pasta: 3 for 2 → 3 for 2. 
Rice: 5 for 3 → 3 for  \frac{3}{5} \cdot 3 = 1.8 . 
Olive Oil: 4 for 3 → 3 for  \frac{3}{4} \cdot 3 = 2.25 . 
Flour: 6 for 5 → 3 for  \frac{5}{6} \cdot 3 = 2.5 .

Only flour matches the offer (2.5).

Answer: E

During a clearance event at a supermarket, Liam purchased various

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Item	Deal	Price for 3	Matches Offer
Beans	7 for 5	2.14	No
Pasta	3 for 2	2	No
Rice	5 for 3	1.8	No
Olive Oil	4 for 3	2.25	No
Flour	6 for 5	2.5	Yes

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During a clearance event at a supermarket, Liam purchased various