During a sale, 12 rings and 10 bracelets cost $2592. If Fanny bought 15 rings and 13 bracelets, she would have spent all her money. Each ring cost $40 more than a bracelet. Find the amount that Fanny had at first.
|
Case 1 |
Case 2 |
|
Rings |
Bracelets |
Rings |
Bracelets |
Number |
12 |
10 |
15 |
13 |
Value |
1 u + 40 |
1 u |
1 u + 40 |
1 u |
Total value |
12 u + 480 |
10 u |
15 u + 600 |
13 u |
Cost of 1 bracelet = 1 u
Cost of 10 bracelets = 10 u
Cost of 1 ring = 1 u + 40
Cost of 12 rings = 12 x (1 u + 40) = 12 u + 480
Total cost of 10 bracelets and 12 rings
= 10 u + 12 u + 480
= 22 u + 480
22 u + 480 = 2592
22 u = 2592 - 480
22 u = 2112
1 u = 2112 ÷ 22 = 96
Cost of 15 rings = 15(1 u + 40) = 15 u + 600
Cost of 13 bracelets = 13 u
Amount that Fanny had at first
= 15 u + 600 + 13 u
= 28 u + 600
= 28 x 96 + 600
= $3288
Answer(s): $3288