Question

Mrs. Travis wants to have a clown deliver balloons to her secretary's office. Clowns R Fun charges $ 1.25 per balloon and $ 6 delivery. Singing Balloons charges $ 1.95 per balloon and $ 2 for delivery. What is the minimum number of balloons? Mrs. Travis needs to purchase in order for Clowns R Fun to have a lower price than Singing Balloons?

Answer 1

Let C be Clowns R Fun charge for b balloons and S be Singing Balloons charge.
C=6+1.25b and S=2+1.95b. C must be less than S.
6+1.25b<2+1.95b, 4<0.7b, b>4/0.7, b>40/7, b>5. So Mrs Travis needs to purchase more than 5 balloons.