Question

Vlad are 500 lei. Isi ia o bicicleta, o tableta si o pereche de adidasi. Aflati cat a costat fiecare obiect stiind ca Vlad a cheltuit toti banii pe aceste obiecte, iar preturile lor sunt invers proportionale cu numerele 10,6 si 15

Answer 1

$Notam: \\ -\ \textgreater \ bicicleta-b \\ -\ \textgreater \ tableta-t \\ -\ \textgreater \ adidasi-a \\ =\ \textgreater \ b+t+a=500 \\ =\ \textgreater \ \frac{k}{10} + \frac{k}{6} + \frac{k}{15}=500 \\ =\ \textgreater \ 3k+5k+2k=15000 \\ =\ \textgreater \ 10k=15000 \\ =\ \textgreater \ k=15000:10 \\ =\ \textgreater \ k=1500 \\ \frac{k}{10} = \frac{1500}{10}=150.Lei(bicicleta) \\ \frac{k}{6}= \frac{1500}{6}=250.Lei(tableta) \\ \frac{k}{15}= \frac{1500}{15}=100.Lei(adidasi) \\ Verificare:b+t+a=500 \\150+250+100=500 \\ 400+100=500 \\ 500=500.$