During a sale, 8 bracelets and 4 rings cost $1368. If Vanessa bought 3 bracelets and 9 rings, she would have spent all her money. Each bracelet cost $111 more than a ring. Find the amount that Vanessa had at first.
| |
Case 1 |
Case 2 |
| |
Bracelets |
Rings |
Bracelets |
Rings |
| Number |
8 |
4 |
3 |
9 |
| Value |
1 u + 111 |
1 u |
1 u + 111 |
1 u |
| Total value |
8 u + 888 |
4 u |
3 u + 333 |
9 u |
Cost of 1 ring = 1 u
Cost of 4 rings = 4 u
Cost of 1 bracelet = 1 u + 111
Cost of 8 bracelets = 8 x (1 u + 111) = 8 u + 888
Total cost of 4 rings and 8 bracelets
= 4 u + 8 u + 888
= 12 u + 888
12 u + 888 = 1368
12 u = 1368 - 888
12 u = 480
1 u = 480 ÷ 12 = 40
Cost of 3 bracelets = 3(1 u + 111) = 3 u + 333
Cost of 9 rings = 9 u
Amount that Vanessa had at first
= 3 u + 333 + 9 u
= 12 u + 333
= 12 x 40 + 333
= $813
Answer(s): $813
