Erika bought some bracelets and rings for her friends. The price of each bracelet was $4.60 while the price of each ring was $14.10. For every 7 rings bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was
15 of the number of rings bought. If Erika paid a total of $4524.30, how much more did she pay for the rings than the bracelets?
Rings |
Bracelets |
5x7 |
1x7 |
Bought |
Free |
Bought |
7x5 |
1x5 |
|
35 u |
5 u |
2 u |
|
Rings |
Bracelets |
|
Bought |
Free |
Bought |
Number |
35 u |
5 u |
2 u |
Value |
$14.10 |
0 |
$4.60 |
Total value |
493.5 u |
0 |
9.2 u |
The number of rings bought is the repeated identity. Make the number of rings bought the same. LCM of 5 and 7 is 35.
Cost of the bought rings
= 35 u x 14.10
= 493.5 u
Cost of the bought bracelets
= 2 u x 4.60
= 9.2 u
Total cost of the bought items
= 493.5 u + 9.2 u
= 502.7 u
502.7 u = 4524.30
1 u = 4524.30 ÷ 502.70 = 9
Amount that she paid more for the rings than the bracelets
= 493.5 u - 9.2 u
= 484.3 u
= 484.3 x 9
= $4358.70
Answer(s): $4358.70