Question

total 900 shirts were produced on Monday and Tuesday together. 5% and 4% of shirts produced on Monday and Tuesday respectively were defective. if the numbers of defective shirts produced on both days were equal, how many shirts were produced on tuesday

Answer 1

Answer:500 of 4% defective and 400 of 5% defective

Step-by-step explanation:

Answer 2

There are 500 shirts produced on Tuesday.

Step-by-step explanation:

Let the number of  shirts on Tuesday be 'x'.

Let the number of  shirts on Monday be '900-x'.

Percentage of defective shirts on Monday = 5%

Percentage of defective shirts on Tuesday = 4%

According to question, the number of defective shirts are equal, so, it becomes,

$\dfrac{4}{100}x=\dfrac{5}{100}(900-x)\\\\0.04x=0.05(900-x)\\\\0.04x=45-0.05x\\\\0.04x+0.05x=45\\\\0.09x=45\\\\x=\dfrac{45}{0.09}\\\\x=500$

Hence, there are 500 shirts produced on Tuesday.

# learn more:

Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is

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