Tiffany bought some necklaces and rings for her friends. The price of each necklace was $2.70 while the price of each ring was $10.80. For every 7 rings bought, she was given one such necklace for free. After receiving the free necklaces, the number of necklaces was
14 of the number of rings bought. If Tiffany paid a total of $2173.50, how much more did she pay for the rings than the necklaces?
Rings |
Necklaces |
4x7 |
1x7 |
Bought |
Free |
Bought |
7x4 |
1x4 |
|
28 u |
4 u |
3 u |
|
Rings |
Necklaces |
|
Bought |
Free |
Bought |
Number |
28 u |
4 u |
3 u |
Value |
$10.80 |
0 |
$2.70 |
Total value |
302.4 u |
0 |
8.1 u |
The number of rings bought is the repeated identity. Make the number of rings bought the same. LCM of 4 and 7 is 28.
Cost of the bought rings
= 28 u x 10.80
= 302.4 u
Cost of the bought necklaces
= 3 u x 2.70
= 8.1 u
Total cost of the bought items
= 302.4 u + 8.1 u
= 310.5 u
310.5 u = 2173.50
1 u = 2173.50 ÷ 310.50 = 7
Amount that she paid more for the rings than the necklaces
= 302.4 u - 8.1 u
= 294.3 u
= 294.3 x 7
= $2060.10
Answer(s): $2060.10