Question

the Florence family and the Warren Family each used to sprinkler his last summer. the Florence Family sprinklers was used for 40 hours. the Warren Family sprinklers was used for 35 hours. there was a combined total output of 1925 L of water what was the water output rate for each sprinkler if the sum of the two rates was 50L per hour Florence Family sprinkler: ___ L per hour Warren Family sprinkler:____ L per hour

Answer 1

For this case we can do the following:

x1 +x2 = 50 (1)

Where:

x1= rate of Florence family

x2= rate of Warren family

And we also know that:

40x1 + 35 x2= 1925 (2)

If we solve from the first equation for x1 we got:

x1= 50 -x2

And replacing in the second equation we got:

40(50-x2) + 35 x2= 1925

2000- 40x2 + 35x2= 1925

2000-1925= 5x2

x2= 75/5 = 15

x1= 50-15= 35

Then the final answer would be:

Florence Family sprinkler: 35 L per hour

Warren Family sprinkler:15 L per hour​