Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
Answer:

Step-by-step explanation:
1. Find the Greatest Common Factor of the numerator and denominator.
The prime factors of 35 are <u>5</u>, 7, 35
The prime factors of 60 are 2, 3, 4, <u>5</u>, 6, 10, 12, 15, 20, 30, 60
The only common factor of 35 and 60 is 5.
2. Divide the numerator and denominator by the Greatest Common Factor.

Answer:
t = 13
Step-by-step explanation:
3 months ------ 4500
6 months ------ x
3/6 = 4500/x
cross multiplation:
3x =27000
x = 9000,or we should have just doubled the wages, since the time doubled
3 months ------ 4500
5 months ------ y
3/5 = 4500/y
3y = 22500
y = 7500
3 months ------- 4500
t months -------- 19500
3/t = 4500/19500 = 3/13
3t = 39
t = 13