Question

You want to organize a group of friends to go to a karaoke studio this Friday night. You must pay 30 to reserve a private karaoke room plus 5 for each person in the group. You also want to have snakes for the group at a cost of 2 per person. How many people can be in the group if you have 65 to spend?

Short answer

The total number of people in the group in order for the total cost to be 65 is 5.

Step-by-step solution

– Given information.

Consider, the expression for the total number of people in the group,

$(30+5x+2x)=65$

– Determine the number of people.

The total number of people in the group can be,

$\begin{array}{c}(30+5x+2x)=65\\ (30+7x)=65\\ 30-30+7x=65-30\\ 7x=35\\ 7x÷7=35÷7\end{array}$

so$x=5$