Sandy had some money. If she bought 5 bangles and 7 rings, she would have $3 left. If she bought 7 bangles and 5 rings, she would need $5 more. If each bangle cost $8, how much did each ring cost?
Call the amount of money she had, x...and call the price of each ring, r......and we have that
5(8) + 7r = x - 3 → 43 + 7r = x
7(8) + 5r = x + 5 → 51 + 5r = x
Setting both equations equal, we have
43 + 7r = 51 + 5r subtract 43, 5r from both sides
2r = 8 divide both sides by 2
r = $4
