Winnie bought some rings and bracelets for her friends. The price of each ring was $2.90 while the price of each bracelet was $10.70. For every 8 bracelets bought, she was given one such ring for free. After receiving the free rings, the number of rings was
13 of the number of bracelets bought. If Winnie paid a total of $2984.30, how much more did she pay for the bracelets than the rings?
Bracelets |
Rings |
3x8 |
1x8 |
Bought |
Free |
Bought |
8x3 |
1x3 |
|
24 u |
3 u |
5 u |
|
Bracelets |
Rings |
|
Bought |
Free |
Bought |
Number |
24 u |
3 u |
5 u |
Value |
$10.70 |
0 |
$2.90 |
Total value |
256.8 u |
0 |
14.5 u |
The number of bracelets bought is the repeated identity. Make the number of bracelets bought the same. LCM of 3 and 8 is 24.
Cost of the bought bracelets
= 24 u x 10.70
= 256.8 u
Cost of the bought rings
= 5 u x 2.90
= 14.5 u
Total cost of the bought items
= 256.8 u + 14.5 u
= 271.3 u
271.3 u = 2984.30
1 u = 2984.30 ÷ 271.30 = 11
Amount that she paid more for the bracelets than the rings
= 256.8 u - 14.5 u
= 242.3 u
= 242.3 x 11
= $2665.30
Answer(s): $2665.30