Problema Solution
At Waddles Doughnuts, where you work part time (to put yourself through school), they ask you to make ten gallons of doughnut dough, which is 44% sugar. There's some dough in the back room that's 20% sugar, and there's some out in the trunk of the car that's 60% sugar. How many gallons of the stuff in the car trunk should you bring in?
Answer provided by our tutors
let
x = gallons of the 20% sugar dough
y = gallons of the 60% sugar dough
they ask you to make ten gallons of doughnut dough, which is 44% sugar
x + y = 10
20% of x + 60% of y = 44% of 10
0.20*x + 0.60*y = 0.44*10
0.20*x + 0.60*y = 4.4
by solving the system of equations
x + y = 10
0.20*x + 0.60*y = 4.4
we find
x = 4 gal
y = 6 gal
click here to see the step by step solution of the system of equations
6 gallons of the stuff in the car trunk is needed.