Answer: she bought 3 packages of
Gourmet treats and 4 packages of treats that help clean a dogs teeth
Step-by-step explanation:
Let x represent the number of Gourmet treats packages that she bought.
Let y represent the number of packages(that help clean a dogs teeth) that she bought.
The dog groomers buys 7 packages of treats. It means that
x + y = 7
Gourmet treats are sold in packages of 2. Treats that help clean a dogs teeth are sold in packs of 5. The dog groomer buys 26 treats in all. It means that
2x + 5y = 26- - - - - - - - - -1
Substituting x = 7 - y into equation 1, it becomes
2(7 - y) + 5y = 26
14 - 2y + 5y = 26
- 2y + 5y = 26 - 14
3y = 12
y = 12/3
y = 4
x = 7 - y = 7 - 4
x = 3
