Question 1195959
<br>
The other tutor showed a solution using a standard formal algebraic method.<br>
A very different method can be used on any 2-part "mixture" problem like this which can make it easier to find the answer if the numbers are "nice".<br>
In this problem, one kind of candy costs $0.32 each and another costs $0.23 each; and 75 pieces of candy cost $19.50.<br>
Divide the $19.50 by 75 to find the average cost of the pieces of candy is $0.26.<br>
Then, seeing that $0.26 is 1/3 of the way from $0.23 to $0.32, we know that 1/3 of the candies are the more expensive ones.  So 75/3 = 25 of the candies are lollipops, leaving 50 for the number of kisses.<br>
ANSWER: 25 lollipops, 50 kisses<br>
CHECK: 25(0.32)+50(0.23)=8.00+11.50 = 19.50<br>