Question 1171200
<br>
You have two responses that both show basically the same standard algebraic method for solving "mixture" problems like this.<br>
If a formal algebraic solution is not required, here is a different method that will almost always get you to the answer faster and with less effort.<br>
(1) Look at the three per-pound prices on a number line: 1.79, 2.21, and 2.49.
(2) Determine by simple calculations that 2.21 is 42/70 = 3/5 of the way from 1.79 to 2.49.
(3) That means 3/5 of the mixture is the higher-priced ingredient.<br>
ANSWER: 3/5 of the total 25 pounds, or 15 pounds, of corn flakes; the other 10 pounds is the sugar.<br>
CHECK:
15(2.49)+10(1.79) = 37.35+17.90 = 55.25
25(2.21) = 55.25<br>