The tub

If we drop the 5 l from the first tap and the second 2 liters of water, the water in the tub will have a temperature of 25°C. If we drop 3 l from the first tap and from the second 4 l of water, the water in the tub will have a temperature of 21°C. Determine the water temperatures flowing from both taps.

Correct answer:

a =  29 °C
b =  15 °C

Step-by-step explanation:


5a+2b = 25·(5+2)
3a + 4b = 21·(3+4)

5·a+2·b = 25·(5+2)
3·a + 4·b = 21·(3+4)

5a+2b = 175
3a+4b = 147

Row 2 - 3/5 · Row 1 → Row 2
5a+2b = 175
2.8b = 42


b = 42/2.8 = 15
a = 175-2b/5 = 175-2 · 15/5 = 29

a = 29
b = 15

Our linear equations calculator calculates it.
b=15=15°C



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