Answer:
$9.96
Step-by-step explanation:
The initial purchases can be formulated using the equations ...
2b +6y = 12.38
1b + 7y = 11.11
where b and y represent the cost of bread and yogurt, respectively.
Subtracting the first equation from 2 times the second gives ...
2(1b +7y) -(2b +6y) = 2(11.11) -(12.38)
8y = 9.84
y = 1.23 . . . . . the cost of one yogurt
Substituting into the second equation gives ...
b + 7(1.23) = 11.11
b = 2.50 . . . . . . . . subtract 8.61
Then the cost of the desired purchase is ...
3b +2y = 3(2.50) +2(1.23) = 7.50 +2.46 = 9.96
The cost of 3 loaves and 2 yogurts is $9.96.
