Question

Two group of people went on holiday. First group hired a taxi and paid rupee five hundred each. In the second group,there are four more people than the first group and each of them paid rupee hundred less less than the first group. If total expenditure of both the group is rupee 7000,find the total number of people who went on the holiday.

Answer 1

Dear student,


$$\begin{gathered} LetthenumberofpeopleinIstgroupbex \\ ExpenditureofgroupI=500x \\ NumberofpeopleinIIndgroupbe\left(x+4\right) \\ ExpenditureofgroupII=400\left(x+4\right) \\ Acc.toquestion, \\ 500x+400\left(x+4\right)=7000 \\ \Rightarrow 500x+400x+1600=7000 \\ \Rightarrow 900x=7000-1600 \\ \Rightarrow x=\frac{5400}{900} \\ \Rightarrow x=6 \\ numberofpeopleinIstgroup=6 \\ numberofpeopleinIIgroup=6+4=10 \\ Totalnumberofpeoplewentontheholiday=6+10=16 \end{gathered}$$

Regards