MHB How Much Money Did I Have After Buying 15 Burgers?

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After purchasing 15 burgers, $3.80 remains, indicating that an additional burger costs $4.70. This suggests the price of each burger is $8.50, leading to a total expenditure of $127.50 for 15 burgers. The remaining amount plus the spent total equals $131.30, which is the initial amount. The discussion highlights the need for realistic figures in such calculations.
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After I have purchased 15 same-priced burgers it remains 380 dollars and 470 fails me to buy another how much DiD I have? Answer $ 13130
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Answer 13130 dollars
Despite I think it is a bad answer
 
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leprofece said:
After I have purchased 15 same-priced burgers it remains 3.80 dollars and 4.70 fails me to buy another how much DiD I have? Answer $ 131.30
I think that those amounts of money are unrealistically large. I have inserted a decimal point to bring them down to size.

If you have $\$3.80$ remaining, and you need an extra $\$4.70$ to buy an additional burger, then the price of a burger must be $\$3.80 + \$4.70 = \$8.50$. The cost of 15 burgers would then be $\$8.50 \times 15 = \$127.50$. Having spent that amount, you have $\$3.80$ remaining. Therefore you must have started with $\$127.50 + \$3.80 = \$131.30$.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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