A dog groomers buys 7 packages of treats. 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. How many packages of each did she buy?

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

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