During a sale, 8 bracelets and 5 rings cost $1315. If Mary bought 5 bracelets and 15 rings, she would have spent all her money. Each bracelet cost $75 more than a ring. Find the amount that Mary had at first.
| |
Case 1 |
Case 2 |
| |
Bracelets |
Rings |
Bracelets |
Rings |
| Number |
8 |
5 |
5 |
15 |
| Value |
1 u + 75 |
1 u |
1 u + 75 |
1 u |
| Total value |
8 u + 600 |
5 u |
5 u + 375 |
15 u |
Cost of 1 ring = 1 u
Cost of 5 rings = 5 u
Cost of 1 bracelet = 1 u + 75
Cost of 8 bracelets = 8 x (1 u + 75) = 8 u + 600
Total cost of 5 rings and 8 bracelets
= 5 u + 8 u + 600
= 13 u + 600
13 u + 600 = 1315
13 u = 1315 - 600
13 u = 715
1 u = 715 ÷ 13 = 55
Cost of 5 bracelets = 5(1 u + 75) = 5 u + 375
Cost of 15 rings = 15 u
Amount that Mary had at first
= 5 u + 375 + 15 u
= 20 u + 375
= 20 x 55 + 375
= $1475
Answer(s): $1475
