Question

Pitts bought pots for5 dollars each and joe bought buckets for 7dollars each if they spent140 dollars for 192 items how many of each type did they bought

Answer 1

Explanations;

Let the number of pots be "x"

Let the number of buckets be "y"

Since we have 192 items, hence;

x + y = 192 ............................... 1

If Pitts bought pots for 5 dollars each and joe bought buckets for 7dollars each and spent 140 dollars, this can be expressed as:

5x + 7y = 140 ............................ 2

Solve the equations simultaneously to get the value of x and y:

x + y = 192 ............................... 1 * 7

5x + 7y = 140 ............................ 2 * 1

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7x + 7y = 1344

5x + 7y = 140

Subtract

7x - 5x = 1344 - 140

2x = 1204

x = 1204/2

x = 602

This shows that 602 pots were bought.

Substitute x = 602 into the equation 1 to get y:

602 + y = 192

y = 192 - 602

y = -410

Since the y value cannot be negative, we can say that 602 pots were bought but the solution to the system of equation is (602, -410)