Cherries and Blueberries

`175` kg of cherries cost more than `125` kg of blueberries, but less than `126` kg of blueberries. In addition, it is known that a kilogram of cherries costs a whole number of shekels, and a kilogram of blueberries also costs a whole number of shekels.

Prove that `80` shekels is not enough to buy one kilogram of blueberries and three kilograms of cherries.

S. Fomin

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Number Theory Arithmetic Algebra -> Inequalities Algebra -> Word Problems
Sources:
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