During a sale, 10 rings and 5 bracelets cost $795. If Raeann bought 6 rings and 12 bracelets, she would have spent all her money. Each ring cost $18 more than a bracelet. Find the amount that Raeann had at first.
| |
Case 1 |
Case 2 |
| |
Rings |
Bracelets |
Rings |
Bracelets |
| Number |
10 |
5 |
6 |
12 |
| Value |
1 u + 18 |
1 u |
1 u + 18 |
1 u |
| Total value |
10 u + 180 |
5 u |
6 u + 108 |
12 u |
Cost of 1 bracelet = 1 u
Cost of 5 bracelets = 5 u
Cost of 1 ring = 1 u + 18
Cost of 10 rings = 10 x (1 u + 18) = 10 u + 180
Total cost of 5 bracelets and 10 rings
= 5 u + 10 u + 180
= 15 u + 180
15 u + 180 = 795
15 u = 795 - 180
15 u = 615
1 u = 615 ÷ 15 = 41
Cost of 6 rings = 6(1 u + 18) = 6 u + 108
Cost of 12 bracelets = 12 u
Amount that Raeann had at first
= 6 u + 108 + 12 u
= 18 u + 108
= 18 x 41 + 108
= $846
Answer(s): $846
