Jen bought some necklaces and rings for her friends. The price of each necklace was $3.90 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
14 of the number of rings bought. If Jen paid a total of $4502.30, 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 |
$14.20 |
0 |
$3.90 |
Total value |
397.6 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 14.20
= 397.6 u
Cost of the bought necklaces
= 3 u x 3.90
= 11.7 u
Total cost of the bought items
= 397.6 u + 11.7 u
= 409.3 u
409.3 u = 4502.30
1 u = 4502.30 ÷ 409.30 = 11
Amount that she paid more for the rings than the necklaces
= 397.6 u - 11.7 u
= 385.9 u
= 385.9 x 11
= $4244.90
Answer(s): $4244.90