Question

Jack placed two orders with a local nursery. The first order was for 13 rose bushes and 4 miniature orchid plants. This order totaled $500. The second order was for 2 rose bushes and 1 miniature orchid. This order totaled $100. The receipts do not list the price per plant, and Jack would like to know how much each plant cost. This system of equations represents the situation. 13x + 4y = 500 2x + y = 100 In the equations, x represents the cost of each rose bush and y represents the cost of each orchid plant. The graph of this system is shown below. How much does each type of plant cost?

Answer 1

Answer:

Step-by-step explanation:

----> 13x + 4y = 500 ........... (1)

------> 2x + y = 100

         y = 100 - 2x ............(2)

------> put (2) in (1) ,

       13x + 4(100 - 2x) = 500

       13x + 400 - 8x = 500

       5x = 100

        x = 20 Rs ........ (3)

-----> put (3) in (2),

       y = 100-2(20)

       y = 60 Rs

Answer 2

Answer:

First box is 20 second box is 60

Step-by-step explanation:

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