During a sale, 5 bracelets and 3 rings cost $706. If Tiffany bought 3 bracelets and 15 rings, she would have spent all her money. Each bracelet cost $50 more than a ring. Find the amount that Tiffany had at first.
| |
Case 1 |
Case 2 |
| |
Bracelets |
Rings |
Bracelets |
Rings |
| Number |
5 |
3 |
3 |
15 |
| Value |
1 u + 50 |
1 u |
1 u + 50 |
1 u |
| Total value |
5 u + 250 |
3 u |
3 u + 150 |
15 u |
Cost of 1 ring = 1 u
Cost of 3 rings = 3 u
Cost of 1 bracelet = 1 u + 50
Cost of 5 bracelets = 5 x (1 u + 50) = 5 u + 250
Total cost of 3 rings and 5 bracelets
= 3 u + 5 u + 250
= 8 u + 250
8 u + 250 = 706
8 u = 706 - 250
8 u = 456
1 u = 456 ÷ 8 = 57
Cost of 3 bracelets = 3(1 u + 50) = 3 u + 150
Cost of 15 rings = 15 u
Amount that Tiffany had at first
= 3 u + 150 + 15 u
= 18 u + 150
= 18 x 57 + 150
= $1176
Answer(s): $1176
