During a sale, 4 necklaces and 7 rings cost $673. If Zara bought 7 necklaces and 4 rings, she would have spent all her money. Each necklace cost $61 more than a ring. Find the amount that Zara had at first.
| |
Case 1 |
Case 2 |
| |
Necklaces |
Rings |
Necklaces |
Rings |
| Number |
4 |
7 |
7 |
4 |
| Value |
1 u + 61 |
1 u |
1 u + 61 |
1 u |
| Total value |
4 u + 244 |
7 u |
7 u + 427 |
4 u |
Cost of 1 ring = 1 u
Cost of 7 rings = 7 u
Cost of 1 necklace = 1 u + 61
Cost of 4 necklaces = 4 x (1 u + 61) = 4 u + 244
Total cost of 7 rings and 4 necklaces
= 7 u + 4 u + 244
= 11 u + 244
11 u + 244 = 673
11 u = 673 - 244
11 u = 429
1 u = 429 ÷ 11 = 39
Cost of 7 necklaces = 7(1 u + 61) = 7 u + 427
Cost of 4 rings = 4 u
Amount that Zara had at first
= 7 u + 427 + 4 u
= 11 u + 427
= 11 x 39 + 427
= $856
Answer(s): $856
