During a sale, 6 bracelets and 10 rings cost $1354. If Lucy bought 5 bracelets and 15 rings, she would have spent all her money. Each bracelet cost $79 more than a ring. Find the amount that Lucy had at first.
| |
Case 1 |
Case 2 |
| |
Bracelets |
Rings |
Bracelets |
Rings |
| Number |
6 |
10 |
5 |
15 |
| Value |
1 u + 79 |
1 u |
1 u + 79 |
1 u |
| Total value |
6 u + 474 |
10 u |
5 u + 395 |
15 u |
Cost of 1 ring = 1 u
Cost of 10 rings = 10 u
Cost of 1 bracelet = 1 u + 79
Cost of 6 bracelets = 6 x (1 u + 79) = 6 u + 474
Total cost of 10 rings and 6 bracelets
= 10 u + 6 u + 474
= 16 u + 474
16 u + 474 = 1354
16 u = 1354 - 474
16 u = 880
1 u = 880 ÷ 16 = 55
Cost of 5 bracelets = 5(1 u + 79) = 5 u + 395
Cost of 15 rings = 15 u
Amount that Lucy had at first
= 5 u + 395 + 15 u
= 20 u + 395
= 20 x 55 + 395
= $1495
Answer(s): $1495
