Answer:
The answer to your question is $5.60
Step-by-step explanation:
1 tulip + 1 daisy + 2 mums = $4.20 (1)
1 tulip + 2 daisies + 1 mum = $ 3.80 (2)
2 tulips + 2 mums = $4.80 (3)
1 tulip + 3 daisies + 2 mums = ?
tulip = t daisy = d mum = m
Process
1.- Find the price of each flower using system of equations
Solve equation 3 for tulip
2t = 4.80 - 2 m divide by 2 (4)
t = 2.40 - 1m
2.- Substitute equation 4 in equation 1 and 2
(2.4 - 1m) + 1 d + 2 m = 4.2
(2.4 - 1m) + 2d + 1 m = 3.8
3.- Simplify and solve for each flower
2.4 - 1m + 1d + 2m = 4.2
1d + 1m = 4.2 - 2.4
1d + 1m = 1.8 Equation (5)
2.4 - 1m + 2d + 1m = 3.8
2d = 3.8 - 2.4
2d = 1.4
d = 1.4/2
1d = 0.7
4.- Substitue d in equation 5
1(0.7) + 1m = 1.8
0.7 + 1m = 1.8
1m = 1.8 - 0.7
1m = 1.1
5.- Subtitute m in equation 4
1t = 2.40 - 1(1.1)
1t = 2.40 - 1.1
1t = 1.3
6.- Result
1 tulip + 3 daisies + 2 mums cost = 1.3 + 3(0.7) + 2(1.1)
= 1.3 + 2.1 + 2.2
= $5.6
