Question

Each flower has a specific price. One tulip, one daisy, and 2 mums cost $4.20. On tulip, two daisies and one mum cost $3.80. Two tulips and 2 mums cost $4.80. How much does one tulip, three daisies and 2 mums cost?

Answer 1

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