Need with math question leave how you got the solution

6 balloons

Step-by-step explanation:

Clowns Are Fun equation is

y = 1.25x + 6  (1.25 per balloon plus the flat rate $6 delivery charge)

Singing Balloons equation

y = 1.95x + 2  (1.95 per balloon plus the flat rate $2 delivery charge)

We want to know know the value of x that makes Clowns are Fun less that Singing Balloons, so we have the inequality..

1.25x + 6 < 1.95x + 2      now solve for x

4 < 0.7x                

  5.7 < x          We can't have 0.7 of a balloon, so we round to 6.  

So when she orders 6 or more balloons, the cost of Clowns Are Fun will be cheaper that the cost of Singing Balloons