During a sale, 8 rings and 11 bracelets cost $605. If Cindy bought 13 rings and 4 bracelets, she would have spent all her money. Each ring cost $21 more than a bracelet. Find the amount that Cindy had at first.
|
Case 1 |
Case 2 |
|
Rings |
Bracelets |
Rings |
Bracelets |
Number |
8 |
11 |
13 |
4 |
Value |
1 u + 21 |
1 u |
1 u + 21 |
1 u |
Total value |
8 u + 168 |
11 u |
13 u + 273 |
4 u |
Cost of 1 bracelet = 1 u
Cost of 11 bracelets = 11 u
Cost of 1 ring = 1 u + 21
Cost of 8 rings = 8 x (1 u + 21) = 8 u + 168
Total cost of 11 bracelets and 8 rings
= 11 u + 8 u + 168
= 19 u + 168
19 u + 168 = 605
19 u = 605 - 168
19 u = 437
1 u = 437 ÷ 19 = 23
Cost of 13 rings = 13(1 u + 21) = 13 u + 273
Cost of 4 bracelets = 4 u
Amount that Cindy had at first
= 13 u + 273 + 4 u
= 17 u + 273
= 17 x 23 + 273
= $664
Answer(s): $664