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anonymous

  • one year ago

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $3225. What was the rate charged per hour by each mechanic if the sum of the two rates was $190 per hour? First mechanic: $ per hour Second mechanic :$ per hour Will medal

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  1. anonymous
    • one year ago
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    @Vocaloid

  2. Vocaloid
    • one year ago
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    first off, lets define our variables f = number of hours worked by the first mechanic s = number of hours worked by the second mechanic, with me so far?

  3. anonymous
    • one year ago
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    yes

  4. Vocaloid
    • one year ago
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    actually, let me make a quick correction

  5. Vocaloid
    • one year ago
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    f = the rate charged by the first mechanic s = the rate charged by the second mechanic

  6. Vocaloid
    • one year ago
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    anyway, it says that the sum of the rates is $190 so f + s = 190, with me so far?

  7. anonymous
    • one year ago
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    yes

  8. Vocaloid
    • one year ago
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    now, it says that they charged 3225 together, total so now, we can write another equation first mechanic money + second mechanic money = 3225

  9. Vocaloid
    • one year ago
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    so, now we can write an expression to figure out how much each mechanic made the first mechanic worked 20 hours, so he charges: 20f the second mechanic worked 15 hours, so he charges: 15s

  10. anonymous
    • one year ago
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    yes

  11. Vocaloid
    • one year ago
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    that gives us two equations: f + s = 190 20f + 15s = 3225 solve for f and s

  12. anonymous
    • one year ago
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    but how

  13. Vocaloid
    • one year ago
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    start by multiplying the first equation by 20

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