To make strawberry jam, strawberries containing 15 wt% solids and 85 wt% water are crushed. The crushed strawberries and sugar are mixed in a 4/5 mass ratio and the mixture is heated to evaporate water. The residue contains one-third water by mass. Calculate the amounts of strawberries needed to make 100 g of jam, and of evaporated water.
Answers
47.6 gm = Strawberries Needed & 7.14 gm = Water Evaporated to make 100gm Jam
Step-by-step explanation:
Let say 100X gm Strawberries are required
Then Strawberry Solid weight = 15X gm
Water Weight = 85X gm
The crushed strawberries and sugar are mixed in a 4/5 mass ratio
=> Strawberry weight / Sugar weight = 4/5
=> 100X/ Sugar Weight =4/5
=> Sugar Weight = 125X
Total Weight = 100X + 125X = 225X gm
Let say Y gm Water is Evaporated then
Remaining Weight = 225X - Y gm
Remaining weight of Water = 85X - Y gm
(85X - Y)/(225X - Y) = 1/3
=> 255X - 3Y = 225X - Y
=> 30X = 2Y
=> Y = 15X
225X - Y = 100
=> 225X - 15X = 100
=> 210X = 100
=> X = 10/21
=> Y = 15 * 10/21 = 7.14 gm = Water Evaporated
=> 100X = 100 * 10/21 = 47.6 gm = Strawberries Needed
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