Final answer:
To determine if $20 will buy enough balloons for 12 bouquets, we need to calculate the cost of each balloon and then multiply it by the total number of balloons needed for the 12 bouquets. The price per balloon is the same for both blue and white balloons. $20 will be enough to buy the balloons for the 12 bouquets.
Step-by-step explanation:
To determine if $20 will buy enough balloons for 12 bouquets, we need to calculate the cost of each balloon and then multiply it by the total number of balloons needed for the 12 bouquets.
Since the price per balloon is the same for both blue and white balloons, we can find the total cost of 1 bouquet by adding the cost of 7 blue balloons and 8 white balloons. Let's assume each balloon costs $x.
Cost of 1 bouquet = 7x (for blue balloons) + 8x (for white balloons) = 15x
Now, to find the total cost of 12 bouquets, we multiply the cost of 1 bouquet by 12:
Total cost of 12 bouquets = 15x * 12 = 180x
To determine if $20 is enough, we need to set up the following equation:
180x = 20
To solve for x, divide both sides of the equation by 180:
x = 20 / 180 = 1 / 9
Therefore, each balloon costs $1/9. Now, we can determine if $20 is enough:
Cost of 12 bouquets = 15x * 12 = 15 * (1/9) * 12 = $20
Since the total cost of the 12 bouquets is exactly $20, option a) Yes, $20 will be enough.