Question

A teddy bear costsRs.50 and atoycarcosts Rs. 65. Mohitbought 6 of them and spent total of Rs. 330. find the number of teddy bears and toy car he bought.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{teddy}\mathrm{bears}\mathrm{bought}=x \\ \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{toy}\mathrm{cars}\mathrm{bought}=y \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ x+y=6.......\left(1\right) \\ \mathrm{cost}\mathrm{of}1\mathrm{teddy}\mathrm{bear}=\mathrm{Rs}50 \\ \mathrm{cost}\mathrm{of}1\mathrm{toy}\mathrm{car}=\mathrm{Rs}65 \\ \mathrm{So},\mathrm{according}\mathrm{to}\mathrm{the}\mathrm{second}\mathrm{condition}, \\ 50x+65y=330 \\ \Rightarrow 10x+13y=66......\left(2\right) \\ \mathrm{Multiply}\left(1\right)\mathrm{by}10,\mathrm{we}\mathrm{get} \\ 10x+10y=60......\left(3\right) \\ \mathrm{subtracting}\left(3\right)\mathrm{from}\left(2\right),\mathrm{we}\mathrm{get} \\ 3y=6 \\ \Rightarrow y=2 \\ \mathrm{Now},\mathrm{from}\left(1\right),\mathrm{we}\mathrm{get}x=4 \\ \mathrm{So},\mathrm{number}\mathrm{of}\mathrm{teddy}\mathrm{bears}\mathrm{bought}=4 \\ \mathrm{number}\mathrm{of}\mathrm{toy}\mathrm{cars}\mathrm{bought}=2 \end{gathered}$$