Can you solve this question?

Question

Marcus is a cheat trader. He decided to make some extra profit on rice. He bought one type of rice at $42 a kilo and mixed some of it with a better quality of rice bought at $50 a kilo. He sold the blend at $54 a kilo. That gave him a profit of 20% on the cost. How many kilos of each kind must he use to make a blend of 100 kilos weight?

Answer 1

a + b = 100

1.2(42a + 50b) = 54(100)

 

a = 100 - b

50.4(100 - b) + 60b = 5400

5040 - 50.4b + 60b = 5400

9.6b = 360

b = 37.5

 

a = 100 - 37.5 = 62.5

 

Yes.