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# I hope you've been to 7-11!

Fri 4 Apr, 2003 11:43 am
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A customer at a 7-11 store selected four items to buy, and was told that the cost was \$7.11. He was curious that the cost was the same as the store name, so he enquired as to how the figure was derived. The clerk said that he had simply multiplied the prices of the four individual items. The customer protested that the four prices should have been ADDED, not MULTIPLIED. The clerk said that that was OK with him, but, the result was still the same: exactly \$7.11. What were the four prices?

Have fun.....
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Type: Discussion • Score: 1 • Views: 1,607 • Replies: 3
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Craven de Kere

1
Fri 4 Apr, 2003 01:21 pm

1.50, 1.25, 1.20, 3.16
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TechnoGuyRob

1
Fri 4 Apr, 2003 01:23 pm
OBVIOSLY, there are infinite solutions. Some solutions are:

Solution 1:
Item 1: \$0.693
Item 2: \$3.42
Item 3: \$3.00
Item 4: \$1.00

Solution 2:
Item 1: \$0.755
Item 2: \$2.355
Item 3: \$2.00
Item 4: \$2.00

Solution 3:
Item 1: \$1.336
Item 2: \$1.774
Item 3: \$1.00
Item 4: \$3.00

Solution 4:
Item 1: \$0.91
Item 2: \$2.20
Item 3: \$1.33
Item 4: \$2.67

Solution 5:
Item 1: \$1.50
Item 2: \$1.50
Item 3: \$1.024
Item 4: \$3.086

Personally, I think solution 4 is the best (there might be better ones), since it does not contain "a thousandth of a dollar."

Thanks for this problem mono. It stimulates thinking
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Craven de Kere

1
Fri 4 Apr, 2003 01:31 pm
If we accept anything beyond hundredths of a cent (I do not suggest that it should be acceptible as an answer) then all items could be:

1.7775

(7.11/4)
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