Ask Question
4 May, 02:59

Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.80 per pound with Fescue seed that costs $3.50 per pound. How much of each seed should he buy so that the overall cost will be $4.02 per pound?

+1
Answers (1)
  1. 4 May, 04:30
    0
    Given that total number of pounds of grass seed needed = 9

    Let number of pounds of Bermuda seeds used = x

    Let number of pounds of Fescue seeds used = y

    Then sum of both gives equation:

    x+y=9

    or y=9-x ... (i)

    Given that cost of 1 pound of Bermuda seed = $4.80

    Then cost of x pound of Bermuda seed = $4.80x

    Given that cost of 1 pound of Fescue seed = $3.50

    Then cost of y pound of Fescue seed = $3.50y

    total cost will be 4.80x+3.50y

    Given that cost of 1 pound of mix seed = $4.02

    Then cost of 9 pound of mix seed = $4.02*9

    combining all three parts, we get equation:

    4.80x+3.50y=4.02*9

    4.80x+3.50y=36.18 ... (ii)

    plug (i) into (ii)

    4.80x+3.50y=36.18

    4.80x+3.50 (9-x) = 36.18

    4.80x+31.5-3.50x=36.18

    4.80x-3.50x=36.18-31.5

    1.3x=4.68

    x=3.6

    Now plug x=3.6 into (i)

    y=9-x=9-3.6=5.4

    Hence final answer is given by:

    Let number of pounds of Bermuda seeds he should buy = 3.6 pounds

    Let number of pounds of Fescue seeds he should buy = 5.4 pounds
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.80 per pound ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers