Question

The members of a singing group agree to buy at least 250 tickets for a concert. The group buys 20 fewer lawn tickets than balcony tickets. What is the least number of balcony tickets bought?

Answer 1

Members of Singing group will buy minimum 135 number of balcony tickets.

Explanation:

Given:

Minimum of tickets will be bought =250

Let number of lawn tickets be 'l'.

Also Let number of balcony tickets be 'b'

Now given

The group buys 20 fewer lawn tickets than balcony tickets.

Framing in equation form we get;

`l=b-20`

Now The Sum of Number of balcony tickets and Number of lawn tickets should be greater than or equal to Minimum of tickets will be bought by the group.

Framing in equation form we get;

`l+b\geq 250`

Now substituting the value of 'l' in above equation we get;

`(b-20)+b\geq 250\\\\b-20+b\geq 250\\\\2b-20\geq 250\\\\2b\geq 250+20\\\\2b\geq 270\\\\b\geq (270)/(2)\\\\b\geq 135`

Now we know the value of b which is 135 we will substitute in equation
`l=b-20` to find the value of l we get;

`l=135-20 = 115`

Hence Members of singing group will buy minimum 135 number of balcony tickets.