During a sale, 3 bracelets and 8 rings cost $1374. If Erika bought 11 bracelets and 5 rings, she would have spent all her money. Each bracelet cost $95 more than a ring. Find the amount that Erika had at first.
| |
Case 1 |
Case 2 |
| |
Bracelets |
Rings |
Bracelets |
Rings |
| Number |
3 |
8 |
11 |
5 |
| Value |
1 u + 95 |
1 u |
1 u + 95 |
1 u |
| Total value |
3 u + 285 |
8 u |
11 u + 1045 |
5 u |
Cost of 1 ring = 1 u
Cost of 8 rings = 8 u
Cost of 1 bracelet = 1 u + 95
Cost of 3 bracelets = 3 x (1 u + 95) = 3 u + 285
Total cost of 8 rings and 3 bracelets
= 8 u + 3 u + 285
= 11 u + 285
11 u + 285 = 1374
11 u = 1374 - 285
11 u = 1089
1 u = 1089 ÷ 11 = 99
Cost of 11 bracelets = 11(1 u + 95) = 11 u + 1045
Cost of 5 rings = 5 u
Amount that Erika had at first
= 11 u + 1045 + 5 u
= 16 u + 1045
= 16 x 99 + 1045
= $2629
Answer(s): $2629
