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1,400 tons of wheat of two different varieties was delivered to the silo. When processing one variety, there was 2% of waste and 3% during the processing of the second variety of wheat. After the processing, the amount of remaining wheat was 1,364 tons. How many tons of each variety of wheat was delivered to the silo?

Verified Answer :

Hagrid

The correct answer for this question is this one:

x + y = 1400 (1)

0.02x + 0.03y = 1400-1364. (2)
 

Simplify:
x + y = 1400 (1')

0.02x + 0.03y = 36. (2')

 

Multiply the first eq. by 2.
Multiply the second eq. by 100.
You will get
2x + y = 2800, (1'')

2x + 3y = 3600. (2'')

Subtract eq. ('1'') from the eq. (2'').
You will get

 2y = 800.

y = 400

x + y = 1400 (1) 
x + 400 = 1400
x = 1000

Hope this helps answer your question and have a nice day ahead.


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