Step-by-step explanation:
Let the number of Pots be x.
Number of Buckets be y.
From given data we have,
Customer Bought $1140 worth of 192 poys and Buckets.
Total Items=192
[tex]x + y = 192[/tex] ----------->1
Total Cost=$1140
Cost of each Pot=$5.
Cost of each Bucket=$7
Therefore we get
[tex]5x + 7y = 1140[/tex] --------->2
Solving equations 1 and 2
Equation 2 - 5×(Equation 1)
5x+7y=1140
- 5x+5y=960
-----------------------
0+ 2y=180
-----------------------
2y=180
y=90
From Equation 1 we get,
x+y=192
x+90=192
x=192-90=102
Hence we get
x=102
y=90
Therefore
Number of pots=102
Number of Buckets=90
