During a sale, 11 necklaces and 4 bracelets cost $1626. If Jaslyn bought 15 necklaces and 4 bracelets, she would have spent all her money. Each necklace cost $36 more than a bracelet. Find the amount that Jaslyn had at first.
| |
Case 1 |
Case 2 |
| |
Necklaces |
Bracelets |
Necklaces |
Bracelets |
| Number |
11 |
4 |
15 |
4 |
| Value |
1 u + 36 |
1 u |
1 u + 36 |
1 u |
| Total value |
11 u + 396 |
4 u |
15 u + 540 |
4 u |
Cost of 1 bracelet = 1 u
Cost of 4 bracelets = 4 u
Cost of 1 necklace = 1 u + 36
Cost of 11 necklaces = 11 x (1 u + 36) = 11 u + 396
Total cost of 4 bracelets and 11 necklaces
= 4 u + 11 u + 396
= 15 u + 396
15 u + 396 = 1626
15 u = 1626 - 396
15 u = 1230
1 u = 1230 ÷ 15 = 82
Cost of 15 necklaces = 15(1 u + 36) = 15 u + 540
Cost of 4 bracelets = 4 u
Amount that Jaslyn had at first
= 15 u + 540 + 4 u
= 19 u + 540
= 19 x 82 + 540
= $2098
Answer(s): $2098
