Ask Question
24 October, 02:07

Brenda and Ted each improved their yards by planting daylilies and geraniums. They bought

their supplies from the same store. Brenda spent $73 on 7 daylilies and 3 geraniums. Ted spent

$117 on 3 daylilies and 12 geraniums. What is the cost of one daylily and the cost of one

geranium?

+2
Answers (1)
  1. 24 October, 05:06
    0
    The cost of the flowers is:

    Daylily = $7 Geranium = $8

    Step-by-step explanation:

    First we use the next variables:

    Daylily Cost = X Geranium Cost = Y

    With the information in the paragraph we can do the next formulas:

    7X + 3Y = 73 3X + 12Y = 117

    We clear the variable X in the first formula:

    7X + 3Y = 73 7X = 73 - 3Y X = (73 - 3Y) / 7

    And we replace the X in the second formula:

    3X + 12Y = 117 3 ((73 - 3Y) / 7) + 12Y = 117

    Now we operate:

    ((219 - 9Y) / 7) + 12Y = 117 (219 - 9Y + 84Y) / 7 = 117 219 + 75Y = 117 * 7 219 + 75Y = 819 75Y = 819 - 219 75Y = 600 Y = 600/75 Y = 8

    In the last step, we can replace the Y in the first formula:

    7X + 3Y = 73 7X + 3 (8) = 73 7X + 24 = 73 7X = 73 - 24 7X = 49 X = 49/7 X = 7

    Then, how X is the daylily cost, this is $7 and how Y is the geranium cost, this is $8.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Brenda and Ted each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Brenda spent ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers