[tex]\bf 5.\\ \\ \{a,\ b\}\ i.\ p.\ \{0,25;\ \ 0,2\} \Rightarrow \{a,\ b\}\ i.\ p.\ \Big\{\dfrac{1}{4};\ \ \dfrac{1}{5}\Big\} \Rightarrow \{a,\ b\}\ d.\ p.\ \{4;\ \ 5\} \Rightarrow\\ \\ \\ \Rightarrow a=4k,\ \ \ b=5k,\ \ \ k\in\mathbb{R}\\ \\ \\ 3a+2b-6=60 \Rightarrow 3\cdot4k+2\cdot5k-6=60|_{+6} \Rightarrow 12k+10k=66 \Rightarrow \\ \\ \\ \Rightarrow22k=66|_{:22}\Rightarrow k=3\\ \\ \\ a=4\cdot3=12;\ \ \ b=5\cdot3=15[/tex]
[tex]\bf1.\\ \\ \it a)\ 45\%\ din\ 240=\dfrac{45}{100}\cdot240=\dfrac{10800}{100}=108\\ \\ \\ b)\ 120+\dfrac{40}{100}\cdot120=120+\dfrac{4800}{100}=120+48=168\ \ell ei[/tex]
