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MATH / Lupe went to the store and paid for her purchase with a 10 bill. She found that the digits making the amount of her purchase could be rearranged to make the amount she received bac…

Problem

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problem

Lupe went to the store and paid for her purchase with a $10\$ 10 bill. She found that the digits making the amount of her purchase could be rearranged to make the amount she received back in change. If her purchase amount and her change amount were different and each amount was at least $1\$1 , how many possible amounts of change could she have received?
Plain-text mathematical notation (without MathML)
Lupe went to the store and paid for her purchase with a $10 bill. She found that the digits making the amount of her purchase could be rearranged to make the amount she received back in change. If her purchase amount and her change amount were different and each amount was at least $1, how many possible amounts of change could she have received?
Original LaTeX notation
Lupe went to the store and paid for her purchase with a $\$ 10$ bill. She found that the digits making the amount of her purchase could be rearranged to make the amount she received back in change. If her purchase amount and her change amount were different and each amount was at least $\$1 $, how many possible amounts of change could she have received?

level

Level 5

type

Number Theory

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Source and history

task_id
6bc25ad6-f63c-5e58-af10-c8646b2427cb
task_key
number~5ftheory--test--6bc25ad6-f63c-5e58-af10-c8646b2427cb
task_revision_id
1
config / split
number_theory / test

Official source

initial import