Question 823742
4. Suppose, Jessica mixes x pounds of cinnamon glaze to 10 pounds of sugar.


Price of sugar is $0.43 per pound.
Price of cinnamon glaze (25% more than that of sugar) is 1.25 x $0.43 = $0.5375 per pound.


Thus total cost of (10+x) pounds of the mixture is $(4.3+0.5375x).


The cost of the mixture is $0.5 per pound. This implies,
{{{(4.3+0.5375x)/(10+x)=0.5}}}
{{{4.3+0.5375x=0.5(10+x)}}}
{{{4.3+0.5375x=5+0.5x}}}
{{{0.0375x=0.7}}}
{{{x=56/3}}}


In the mixture 56/3 pounds of cinnamon glaze is added to 10 pounds of sugar.


So, the content of sugar in the mixture is {{{10/(10+56/3)= 0.35}}} = 35%.