During a sale, 5 bracelets and 3 rings cost $1232. If Sabrina bought 15 bracelets and 12 rings, she would have spent all her money. Each bracelet cost $88 more than a ring. Find the amount that Sabrina had at first.
| |
Case 1 |
Case 2 |
| |
Bracelets |
Rings |
Bracelets |
Rings |
| Number |
5 |
3 |
15 |
12 |
| Value |
1 u + 88 |
1 u |
1 u + 88 |
1 u |
| Total value |
5 u + 440 |
3 u |
15 u + 1320 |
12 u |
Cost of 1 ring = 1 u
Cost of 3 rings = 3 u
Cost of 1 bracelet = 1 u + 88
Cost of 5 bracelets = 5 x (1 u + 88) = 5 u + 440
Total cost of 3 rings and 5 bracelets
= 3 u + 5 u + 440
= 8 u + 440
8 u + 440 = 1232
8 u = 1232 - 440
8 u = 792
1 u = 792 ÷ 8 = 99
Cost of 15 bracelets = 15(1 u + 88) = 15 u + 1320
Cost of 12 rings = 12 u
Amount that Sabrina had at first
= 15 u + 1320 + 12 u
= 27 u + 1320
= 27 x 99 + 1320
= $3993
Answer(s): $3993
