During a sale, 5 rings and 4 bracelets cost $1027. If Kylie bought 3 rings and 10 bracelets, she would have spent all her money. Each ring cost $47 more than a bracelet. Find the amount that Kylie had at first.
| |
Case 1 |
Case 2 |
| |
Rings |
Bracelets |
Rings |
Bracelets |
| Number |
5 |
4 |
3 |
10 |
| Value |
1 u + 47 |
1 u |
1 u + 47 |
1 u |
| Total value |
5 u + 235 |
4 u |
3 u + 141 |
10 u |
Cost of 1 bracelet = 1 u
Cost of 4 bracelets = 4 u
Cost of 1 ring = 1 u + 47
Cost of 5 rings = 5 x (1 u + 47) = 5 u + 235
Total cost of 4 bracelets and 5 rings
= 4 u + 5 u + 235
= 9 u + 235
9 u + 235 = 1027
9 u = 1027 - 235
9 u = 792
1 u = 792 ÷ 9 = 88
Cost of 3 rings = 3(1 u + 47) = 3 u + 141
Cost of 10 bracelets = 10 u
Amount that Kylie had at first
= 3 u + 141 + 10 u
= 13 u + 141
= 13 x 88 + 141
= $1285
Answer(s): $1285
