Calculating the Cost of Large and Small Bouquets at a Flower Shop
Solving for the Cost of Large and Small Bouquets
A flower shop sells large bouquets of slowers for $15 more than the price of small bouquets. On Mothers' Day last year, the shop earned $897 selling 32 small bouquets and 19 large bouqets.
Write and solve a linear system to find the cost of a large bouquet and the cost of a small bouquet.
Final answer:
The cost of a small bouquet is $12 and the cost of a large bouquet is $27.
Explanation:
To find the cost of a large bouquet and a small bouquet, we can set up a system of linear equations based on the given information. Let's assume the cost of a small bouquet is x dollars. According to the fact, the cost of a large bouquet would be x + $15 dollars.
Now, let's use the given information that the shop earned $897 by selling 32 small bouquets and 19 large bouquets. We can set up the following equation:
32x + 19(x + $15) = $897
Simplifying the equation, we get:
32x + 19x + $285 = $897
Combining like terms, we have:
51x + $285 = $897
Subtracting $285 from both sides of the equation, we get:
51x = $612
Dividing both sides of the equation by 51, we find:
x = $12
So, the cost of a small bouquet is $12. Substituting this value into the expression (x + $15), we can find the cost of a large bouquet:
$12 + $15 = $27
A flower shop sells large bouquets of flowers for $15 more than the price of small bouquets. On Mother's Day last year, the shop earned $897 selling 32 small bouquets and 19 large bouquets.How can we calculate the cost of a large bouquet and a small bouquet? To calculate the cost of a large bouquet and a small bouquet, we can set up a system of linear equations based on the given information. By solving this system, we can find that the cost of a small bouquet is $12 and the cost of a large bouquet is $27.