* Irina sold two types of candy bars:
* One type costs $1 per candy bar
* The other type costs $2 per candy bar
* She sold a total of 44 candy bars
* She earned a total of $68 from the candy bar sales
a) The equations model this situation as follows:
* x represents the number of $1 candy bars sold
* y represents the number of $2 candy bars sold
* x + y = 44 models the total number of candy bars sold, which is 44
* x + 2y = 68 models the total dollar value earned, since each $1 candy bar contributes $1 to the total and each $2 candy bar contributes $2 to the total, which adds up to $68
b) To find how many of each were sold:
* x + y = 44, so y = 44 - x
* Substitute 44 - x for y in the second equation:
* x + 2(44 - x) = 68
* x + 88 - 2x = 68
* -x = -20
* x = 20
* Since x = 20, y = 44 - 20 = 24
Therefore, the number of $1 candy bars sold was 20
And the number of $2 candy bars sold was 24
