Tiffany bought some bracelets and rings for her friends. The price of each bracelet was $2.50 while the price of each ring was $14.70. For every 8 rings bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was
13 of the number of rings bought. If Tiffany paid a total of $3287.70, how much more did she pay for the rings than the bracelets?
Rings |
Bracelets |
3x8 |
1x8 |
Bought |
Free |
Bought |
8x3 |
1x3 |
|
24 u |
3 u |
5 u |
|
Rings |
Bracelets |
|
Bought |
Free |
Bought |
Number |
24 u |
3 u |
5 u |
Value |
$14.70 |
0 |
$2.50 |
Total value |
352.8 u |
0 |
12.5 u |
The number of rings bought is the repeated identity. Make the number of rings bought the same. LCM of 3 and 8 is 24.
Cost of the bought rings
= 24 u x 14.70
= 352.8 u
Cost of the bought bracelets
= 5 u x 2.50
= 12.5 u
Total cost of the bought items
= 352.8 u + 12.5 u
= 365.3 u
365.3 u = 3287.70
1 u = 3287.70 ÷ 365.30 = 9
Amount that she paid more for the rings than the bracelets
= 352.8 u - 12.5 u
= 340.3 u
= 340.3 x 9
= $3062.70
Answer(s): $3062.70