During a sale, 4 necklaces and 11 bracelets cost $1937. If Sabrina bought 7 necklaces and 5 bracelets, she would have spent all her money. Each necklace cost $128 more than a bracelet. Find the amount that Sabrina had at first.
|
Case 1 |
Case 2 |
|
Necklaces |
Bracelets |
Necklaces |
Bracelets |
Number |
4 |
11 |
7 |
5 |
Value |
1 u + 128 |
1 u |
1 u + 128 |
1 u |
Total value |
4 u + 512 |
11 u |
7 u + 896 |
5 u |
Cost of 1 bracelet = 1 u
Cost of 11 bracelets = 11 u
Cost of 1 necklace = 1 u + 128
Cost of 4 necklaces = 4 x (1 u + 128) = 4 u + 512
Total cost of 11 bracelets and 4 necklaces
= 11 u + 4 u + 512
= 15 u + 512
15 u + 512 = 1937
15 u = 1937 - 512
15 u = 1425
1 u = 1425 ÷ 15 = 95
Cost of 7 necklaces = 7(1 u + 128) = 7 u + 896
Cost of 5 bracelets = 5 u
Amount that Sabrina had at first
= 7 u + 896 + 5 u
= 12 u + 896
= 12 x 95 + 896
= $2036
Answer(s): $2036