During a sale, 7 bracelets and 4 rings cost $873. If Raeann bought 4 bracelets and 13 rings, she would have spent all her money. Each bracelet cost $65 more than a ring. Find the amount that Raeann had at first.
| |
Case 1 |
Case 2 |
| |
Bracelets |
Rings |
Bracelets |
Rings |
| Number |
7 |
4 |
4 |
13 |
| Value |
1 u + 65 |
1 u |
1 u + 65 |
1 u |
| Total value |
7 u + 455 |
4 u |
4 u + 260 |
13 u |
Cost of 1 ring = 1 u
Cost of 4 rings = 4 u
Cost of 1 bracelet = 1 u + 65
Cost of 7 bracelets = 7 x (1 u + 65) = 7 u + 455
Total cost of 4 rings and 7 bracelets
= 4 u + 7 u + 455
= 11 u + 455
11 u + 455 = 873
11 u = 873 - 455
11 u = 418
1 u = 418 ÷ 11 = 38
Cost of 4 bracelets = 4(1 u + 65) = 4 u + 260
Cost of 13 rings = 13 u
Amount that Raeann had at first
= 4 u + 260 + 13 u
= 17 u + 260
= 17 x 38 + 260
= $906
Answer(s): $906
