anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Vocaloid
Vocaloid
  • Vocaloid
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?
anonymous
  • anonymous
yes

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Vocaloid
  • Vocaloid
actually, let me make a quick correction
Vocaloid
  • Vocaloid
f = the rate charged by the first mechanic s = the rate charged by the second mechanic
Vocaloid
  • Vocaloid
anyway, it says that the sum of the rates is $190 so f + s = 190, with me so far?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
now, it says that they charged 3225 together, total so now, we can write another equation first mechanic money + second mechanic money = 3225
Vocaloid
  • Vocaloid
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
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
that gives us two equations: f + s = 190 20f + 15s = 3225 solve for f and s
anonymous
  • anonymous
but how
Vocaloid
  • Vocaloid
start by multiplying the first equation by 20

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