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

- anonymous

- katieb

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- anonymous

- Vocaloid

write and solve a system of equations

- anonymous

I dont know how to do that

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## More answers

- 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

yea

- Vocaloid

p + s = 50

- anonymous

ok

- Vocaloid

20p + 30s = 1300
p + s = 50
solve for p and s

- anonymous

thats the part im stuck on

- Vocaloid

start by multiplying the second equation by 20

- anonymous

which one

- Vocaloid

I said the second one

- anonymous

doesnt make any sense

- Vocaloid

here are your two equations
20p + 30s = 1300
p + s = 50
multiply the second equation by 20

- anonymous

20p+20s=100

- Vocaloid

almost

- Vocaloid

50*20 = ?

- anonymous

1000

- Vocaloid

good.

- Vocaloid

now we have
20p + 30s = 1300
20p + 20s = 1000
now subtract the two equations.

- anonymous

10s=300

- Vocaloid

good now find s...

- anonymous

s=30

- Vocaloid

great, now go back and find p

- Vocaloid

we know that p + s = 50, so what is p?

- anonymous

25

- Vocaloid

nope.

- Vocaloid

s = 30
p = ?

- anonymous

20

- Vocaloid

great.

- anonymous

ty have a few more up to helping me

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