d$)$ In a drink manufacturing, $100k\frac{g}{h}r$ of pure orange juice is mixed with a liquid syrup stream and fresh milk stream to produce a milky fruity drink. The syrup contains $60\%$ sugar, and the remaining is water. The final product contains $40\%$ orange juice, $25\%$ milk and the remainder is syrup. All percentages are by mass.

Determine the mass flow rates of the product stream and the liquid syrup stream entering the mixer.

$(16$ marks$)$