Answer:
Step-by-step explanation:
1) Number of jeans = x
Number of blouses = y
Total items = 6
x + y = 6 -------------------(I)
y = 6 - x
Cost of 'x' jeans = 300 *x = 300x
Cost of y blouses = 100 * y = 100y
Total amount = Php. 1000
300x + 100y = 1000 ------------(II)
2) Substitute y = 6 - x in equation (II)
300x + 100(6-x) = 1000
300x + 6*100 - x *100 = 1000
300x + 600 - 100x = 1000
200x + 600=1000
200x = 1000 - 600
200x = 400
x = 400/200
x = 2
Plugin x = 2 in equation (I)
2 + y = 6
y = 6 - 2
y = 4
Number of jeans = 2
Number of blouses = 4
3) This equations have only one solution. So, they are consistent and independent
