Answer: you bought 7 bottles of orange juice and 8 bottles of apple juice.
Step-by-step explanation:
Let x represent the number of 1-gallon bottles of orange juice that you bought.
Let y represent the number of 1-gallon bottles of apple juice that you bought.
You bought 15 1 gallon bottles of orange juice and apple juice for school breakfast. This means that
x + y = 15
The apple juice was on sale for $1.50 per gallon bottle. The orange juice was two dollars per gallon bottle. You spent $26. This means that
2x + 1.5y = 26 - - - - - - - - - - - - -1
Substituting x = 15 - y into equation 1, it becomes
2(15 - y) + 1.5y = 26
30 - 2y + 1.5y = 26
- 2y + 1.5y = 26 - 30
- 0.5y = - 4
y = - 4/ - 0.5
y = 8
x = 15 - y = 15 - 8
x = 7
