There is this bonus that I need so bad for my grade. I have tried several ways to answer this question and have tried several equations. Please Help
Bouquets are priced on the basis of the numbers and types of
flowers used. What is the price of the fourth bouquet?
Bouquet 1 = 2 daisies, 1 rose, and 1 tulip = $4.20
Bouquet 2 = 1 daisy, 2 roses, and 1 tulip = $3.80
Bouquet 3 = 2 daisies and 2 tulips = $4.80
Bouquet 4 = 2 daisies, 3 roses, 1 tulip = ????
Solve the system with ...
2,1,1=4.2
1,2,1=3.8
reduce...
1,-1,0=.4 equation 3 next
2,0,2=4.80
reduce
0,2,2=4 back to one
2,1,1=4.2
reduce
4,0,0=4.4 >>>>daisey is 1.10 dollars
You take it from there
5.6
To find the price of the fourth bouquet, you can use a system of equations. Start by assigning variables to the price of each type of flower. Let's use D for the price of a daisy, R for the price of a rose, and T for the price of a tulip.
From the given information, we can create the following equations:
Bouquet 1: 2D + 1R + 1T = $4.20
Bouquet 2: 1D + 2R + 1T = $3.80
Bouquet 3: 2D + 2T = $4.80
Now, we can solve this system of equations to find the values of D, R, and T. Subtract the second equation from the first equation to eliminate D:
(2D + 1R + 1T) - (1D + 2R + 1T) = $4.20 - $3.80
D - R = $0.40
Next, substitute the value of D - R into the third equation:
2(D - R) + 2T = $4.80
2D - 2R + 2T = $4.80
Simplifying this equation, we get:
D - R + T = $2.40
Now we have a system of two equations with two variables:
D - R = $0.40
D - R + T = $2.40
Using any method such as substitution or elimination, solve for D and R in terms of T. Once you have the values of D, R, and T, you can substitute them into the equation for bouquet 4 and solve for the price.
I hope this explanation helps you understand how to approach the problem and find the solution yourself!