A school orders 99 textbooks, all for the same price. When the bill for the total order comes, the first and last digits are obscured, and t

Hi Mellie

All pronumerals that I use in this question have integer values.

A1127B = 99C

100000A+11270+B=99C

99×1010A+10A +99×113+83+B=99C

99(1010A+113)+10A+83+B=99C

10A+B+83=99(C-1010A-113)

10A+B+83=99D

10A+B=99D-83

Now A and B are both single digit numbers so D can only equal 1.

10A+B=16

A=1 and B=6

The price is    111276 cents or

$1112.76

The books were $11.24 each.

That's a very crafty way to solve that problem, Melody.....I wouldn't have thought of that......!!!!

Thanks Chris,     

It was a great little problem :)

Good reasoning Melody.

Here's an alternative approach as a check:

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