Question

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

Answer 1

@Vocaloid

Answer 2

write and solve a system of equations

Answer 3

I dont know how to do that

Answer 4

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

Answer 5

yea

Answer 6

p + s = 50

Answer 7

ok

Answer 8

20p + 30s = 1300
p + s = 50

solve for p and s

Answer 9

thats the part im stuck on

Answer 10

start by multiplying the second equation by 20

Answer 11

which one

Answer 12

I said the second one

Answer 13

doesnt make any sense

Answer 14

here are your two equations

20p + 30s = 1300
p + s = 50

multiply the second equation by 20

Answer 15

20p+20s=100

Answer 16

almost

Answer 17

50*20 = ?

Answer 18

1000

Answer 19

good.

Answer 20

now we have

20p + 30s = 1300
20p + 20s = 1000

now subtract the two equations.

Answer 21

10s=300

Answer 22

good now find s...

Answer 23

s=30

Answer 24

great, now go back and find p

Answer 25

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

Answer 26

25

Answer 27

nope.

Answer 28

s = 30
p = ?

Answer 29

20

Answer 30

great.

Answer 31

ty have a few more up to helping me