The local hardware store has blue buckets that hold 2 gallons of water and white buckets that hold 5 gallons of water. You bought 7 buckets that can hold 26 gallons of water. How many buckets of each color were purchased?

3 blue buckets and 4 white buckets were purchased.

Step-by-step explanation:

Let x represent the number of blue buckets that were purchased.

Let y represent the number of white buckets that were purchased.

The local hardware store has blue buckets that hold 2 gallons of water and white buckets that hold 5 gallons of water. The buckets that you bought can hold 26 gallons of water. This means that

2x + 5y = 26 - - - - - - - - - - - - -1

The number of buckets that you bought is 7. This means that

x + y = 7

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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step-by-step explanation:

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