anonymous
  • anonymous
The Scott family and the Phillips family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 30L per hour. The water output rate for the Phillips family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in a total water output of1300L. How long was each sprinkler used? Scott family: hours Phillips family: hours Will medal
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@Vocaloid
Vocaloid
  • Vocaloid
write and solve a system of equations
anonymous
  • anonymous
I dont know how to do that

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More answers

Vocaloid
  • Vocaloid
start by defining two variables let s = number of hours used for the Scott family let p = number of hours used by the Phillips family
anonymous
  • anonymous
yea
Vocaloid
  • Vocaloid
p + s = 50
anonymous
  • anonymous
ok
Vocaloid
  • Vocaloid
20p + 30s = 1300 p + s = 50 solve for p and s
anonymous
  • anonymous
thats the part im stuck on
Vocaloid
  • Vocaloid
start by multiplying the second equation by 20
anonymous
  • anonymous
which one
Vocaloid
  • Vocaloid
I said the second one
anonymous
  • anonymous
doesnt make any sense
Vocaloid
  • Vocaloid
here are your two equations 20p + 30s = 1300 p + s = 50 multiply the second equation by 20
anonymous
  • anonymous
20p+20s=100
Vocaloid
  • Vocaloid
almost
Vocaloid
  • Vocaloid
50*20 = ?
anonymous
  • anonymous
1000
Vocaloid
  • Vocaloid
good.
Vocaloid
  • Vocaloid
now we have 20p + 30s = 1300 20p + 20s = 1000 now subtract the two equations.
anonymous
  • anonymous
10s=300
Vocaloid
  • Vocaloid
good now find s...
anonymous
  • anonymous
s=30
Vocaloid
  • Vocaloid
great, now go back and find p
Vocaloid
  • Vocaloid
we know that p + s = 50, so what is p?
anonymous
  • anonymous
25
Vocaloid
  • Vocaloid
nope.
Vocaloid
  • Vocaloid
s = 30 p = ?
anonymous
  • anonymous
20
Vocaloid
  • Vocaloid
great.
anonymous
  • anonymous
ty have a few more up to helping me

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