The required number of litres of pure and 85% maple syrup required to produce 150 litres of 96% maple syrup is 40 litres and 110 litres respectively.
Let :
Amount of pure (100%) maple syrup = a
Amount of 85% map’e syrup = b
Creating a system of equation :
- a + b = 150 - - - (1)
- 100%a + 85%b = 96% × 150
- a + 0.85b = 144 - - - - (2)
From (1)
Substitute a = 150 - b into (2)
- 150 - b + 0.85b = 144
- -0.15b = 144 - 150
- -0.15b = - 6
- b = 40
From (1)
- a = 150 - b
- a = 150 - 40
- a = 110
Therefore, 40 litres of pure maple syrup and 110 litres of 85% maple syrup will be used.
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