how many litres of 15%(mass/volume)sugar solution would it take to get 75g of sugar?
Let the value be x
15% of (75+x)=75
15/100 of 75+x=75
15(75+x)/100=75
3(75+x)/20=75
3(75+x)=75×20
75+x=75×20/3
75+x=25×20
75+x=500
x=500-75
therefore,
x= 425
Let volume be x
Mass by volume %=m/v ×100
15%=75/x ×100
X=75/15 ×100
X=5×100
X=500 ml
X= 0.5 l ( litres )
Hence proved