During a sale, 3 bracelets and 4 rings cost $569. If Shiyun bought 3 bracelets and 15 rings, she would have spent all her money. Each bracelet cost $66 more than a ring. Find the amount that Shiyun had at first.
| |
Case 1 |
Case 2 |
| |
Bracelets |
Rings |
Bracelets |
Rings |
| Number |
3 |
4 |
3 |
15 |
| Value |
1 u + 66 |
1 u |
1 u + 66 |
1 u |
| Total value |
3 u + 198 |
4 u |
3 u + 198 |
15 u |
Cost of 1 ring = 1 u
Cost of 4 rings = 4 u
Cost of 1 bracelet = 1 u + 66
Cost of 3 bracelets = 3 x (1 u + 66) = 3 u + 198
Total cost of 4 rings and 3 bracelets
= 4 u + 3 u + 198
= 7 u + 198
7 u + 198 = 569
7 u = 569 - 198
7 u = 371
1 u = 371 ÷ 7 = 53
Cost of 3 bracelets = 3(1 u + 66) = 3 u + 198
Cost of 15 rings = 15 u
Amount that Shiyun had at first
= 3 u + 198 + 15 u
= 18 u + 198
= 18 x 53 + 198
= $1152
Answer(s): $1152
