Nicole bought some necklaces and rings for her friends. The price of each necklace was $3.10 while the price of each ring was $14.20. For every 7 rings bought, she was given one such necklace for free. After receiving the free necklaces, the number of necklaces was
13 of the number of rings bought. If Nicole paid a total of $2484.80, how much more did she pay for the rings than the necklaces?
Rings |
Necklaces |
3x7 |
1x7 |
Bought |
Free |
Bought |
7x3 |
1x3 |
|
21 u |
3 u |
4 u |
|
Rings |
Necklaces |
|
Bought |
Free |
Bought |
Number |
21 u |
3 u |
4 u |
Value |
$14.20 |
0 |
$3.10 |
Total value |
298.2 u |
0 |
12.4 u |
The number of rings bought is the repeated identity. Make the number of rings bought the same. LCM of 3 and 7 is 21.
Cost of the bought rings
= 21 u x 14.20
= 298.2 u
Cost of the bought necklaces
= 4 u x 3.10
= 12.4 u
Total cost of the bought items
= 298.2 u + 12.4 u
= 310.6 u
310.6 u = 2484.80
1 u = 2484.80 ÷ 310.60 = 8
Amount that she paid more for the rings than the necklaces
= 298.2 u - 12.4 u
= 285.8 u
= 285.8 x 8
= $2286.40
Answer(s): $2286.40