Question

At the garden store, pots were $5 and buckets were $7.

If a customer bought $1140 worth of $192 pots and buckets. How many of each type did they buy?

Answer 1

102 pots and 90 buckets.

Explanation:

Assuming you meant 192 pots and buckets without the dollar sign, you can put what you know into a system of equations.

Let x = number of pots and y = number of buckets:

5x + 7y = 1140 (To model the price)

x + y = 192 (To model the amount sold)

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Going on from there, you can multiply the second equation by 5 to be able to cancel out with the first equation.

x*(5) + y*(5) = 192*(5)

5x + 5y = 960

Cancelling out by subtracting equation 1 with equation 2...

5x + 7y = 1140

5x + 5y = 960

2y = 180

Simplifying...

y = 90

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Now that you know how many buckets were sold (y), you can use this to solve for x in one of the original equations.

x + y = 192

x + 90 = 192

x = 102