Jaslyn bought some necklaces and rings for her friends. The price of each necklace was $3.90 while the price of each ring was $11.10. 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 Jaslyn paid a total of $2257.50, 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 |
$11.10 |
0 |
$3.90 |
Total value |
310.8 u |
0 |
11.7 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 11.10
= 310.8 u
Cost of the bought necklaces
= 3 u x 3.90
= 11.7 u
Total cost of the bought items
= 310.8 u + 11.7 u
= 322.5 u
322.5 u = 2257.50
1 u = 2257.50 ÷ 322.50 = 7
Amount that she paid more for the rings than the necklaces
= 310.8 u - 11.7 u
= 299.1 u
= 299.1 x 7
= $2093.70
Answer(s): $2093.70