Tuesday, September 10, 2024

Another solution of mathematic reading is not enough had rationalization

 Many times mathematical problems aren't explain in mathematical formulas but with a exemple or a problem that is mathematically write, but a problem could be solved mathematically, so you read the problem and rationalize is make somehting that isn't a mathematical formula and make a formula, you rationalized the life problem to solve them with mathematic. Mathematical is : x + 3 = 25y - 6 being x 8 what is y?; but isn't that what people give to you solve.

In an industry, 20 identical machines working for 8 hours produce 160,000 liters of a certain soft drink. Yesterday, the machines were down for 3 hours due to a lack of electricity. On the other hand, 5 new machines, the same as the previous ones, went into operation. Assuming a constant production rate, how many liters of this soft drink were produced yesterday?

formula sentence equation 

assembling the 1 equation reading and rationalization:

20 maq x 8 hours = 160,000L

Rationalizing the 2 equation:

3 hours downtime then 5 hours;

20+5 machines = 25 machines; 

2 equation: 25 machines x 5 hours = X

rule of 3 with the two equations:

20x8 = 160,000L on: 25x5=X -> X=160,000x125/20x8 = 125,000L

Rute Bezerra de Menezes Gondim


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