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Euler is selling

Source: UMD 2023 I #4

October 26, 2023
EulerUMDalgebra

Problem Statement

Euler is selling Mathematician cards to Gauss. Three Fermat cards plus 55 Newton cards costs 9595 Euros, while 55 Fermat cards plus 22 Newton cards also costs 9595 Euros. How many Euroes does one Fermat card cost? a. 10b. 15c. 20d. 30e. 35 \mathrm a. ~ 10\qquad \mathrm b.~15\qquad \mathrm c. ~20 \qquad \mathrm d. ~30 \qquad \mathrm e. ~35
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