[ Arithmetic. Mental calculation, etc.]

Lena and Ira were buying grapes at the market. When Lena's purchase was weighed, the scales showed two kilograms, and when Ira's --- then three. Then they put their grapes together on the scales, and the pointer stopped at 4.5 kg. What did their purchases actually weigh?

#
Let Lenin and Irina's purchases together actually weigh x kg, and the scale is offset by y kg. We get the system of equations

$x+2 y=2+3$,

$x+y=4.5$

from which y=0.5. Therefore, Lenin's purchase actually weighed 2-0.5=1.5 kg, and Irina's purchase weighed 3-0.5=2.5 kg.

## Answer

Lenin's purchase actually weighed 1.5 kg, and Irina's - 2.5 kg.