Mrs. Travis needs to purchase at least 6 balloons for Clowns R Fun to be a cheaper option compared to Singing Balloons.
Minimum number of balloon to purchase
Assume the number of balloons Mrs. Travis needs to purchase is "x". compare the total cost from Clowns R Fun and Singing Balloons based on the given prices.
For Clowns R Fun:
Cost of balloons from Clowns R Fun = $1.25 * x
Delivery charge from Clowns R Fun = $6
Total cost from Clowns R Fun = $1.25 * x + $6
For Singing Balloons:
Cost of balloons from Singing Balloons = $1.95 * x
Delivery charge from Singing Balloons = $2
Total cost from Singing Balloons = $1.95 * x + $2
To find the minimum number of balloons where Clowns R Fun has a lower price than Singing Balloons, find the point where the total cost from Clowns R Fun is less than the total cost from Singing Balloons.
Set up the inequality:
$1.25 * x + $6 < $1.95 * x + $2
Simplify the inequality:
$6 - $2 < $1.95 * x - $1.25 * x
$4 < $0.70 * x
Divide both sides by $0.70:
$4 / $0.70 < x
5.714 < x
Since we cannot have a fractional number of balloons, the minimum number of balloons Mrs. Travis needs to purchase for Clowns R Fun to have a lower price than Singing Balloons is 6.
Therefore, Mrs. Travis needs to purchase at least 6 balloons for Clowns R Fun to be a cheaper option compared to Singing Balloons.