Question

An apprentice baker made 40 liters of 60% sugar syrup instead of 40 liters of 45% sugar syrup. How much syrup should she drain and replace with distilled water so that the resulting solution is 40 liters of 45% syrup? Will award brainliest!

Answer 1

Answer:

10 liters

Step-by-step explanation:

let sugar in  x liters of 60 % sugar syrup be equivalent to sugar in 40 liters of 45 % sugar syrup.

x×60 %=40×45%

60x=40×45=1800

x=1800/60=30

40-30=10

so 10 liters of 60 % sugar syrup be replaced with 10 liters of distilled water to make 40 liters of 45 % sugar syrup.

Answer 2

Answer:  The baker needs to pour off 10 liters of the solution and replace it with 10 liters of distilled water.

.6(40) = 24.  .45(40) = 18  24-18 = 6   6 = .6(10)  10 liters must be substituted.

Step-by-step explanation:

The original 60% solution contains 24 L syrup and 16 L water.

A 45% solution must contain 18 L syrup and 22 L water.

The difference in syrup is 6 L.  10 L of the 60% solution contains 6 L syrup.

After pouring off  10 L, the remaining  30 L will contain 18 L syrup and 12 L water.  

By adding 10 L water, the resulting solution is 18 L syrup and 22 L water.

18/40 = .45 which is the desired 45% syrup.

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