mrs scott bought some silk at $29.50 a yard and had $12 dollars left. if she had bought twice as much silk at $19.75 cent a yard she would have need $28 more to pay for it. how many yards did she buy and how much money had she

If she started with d dollars, and bought y yards, then we are told

29.50y + 12.00 = d
19.75*2y = d+28.00

So, she started with $130 and bought 4 yards.

check:
29.50*4 = 118, leaving 12 left over
19.75*8 = 158, $28 too much