Dana bought some bracelets and rings for her friends. The price of each bracelet was $2.30 while the price of each ring was $10.30. For every 7 rings bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was
13 of the number of rings bought. If Dana paid a total of $1578.50, how much more did she pay for the rings than the bracelets?
Rings |
Bracelets |
3x7 |
1x7 |
Bought |
Free |
Bought |
7x3 |
1x3 |
|
21 u |
3 u |
4 u |
|
Rings |
Bracelets |
|
Bought |
Free |
Bought |
Number |
21 u |
3 u |
4 u |
Value |
$10.30 |
0 |
$2.30 |
Total value |
216.3 u |
0 |
9.2 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 10.30
= 216.3 u
Cost of the bought bracelets
= 4 u x 2.30
= 9.2 u
Total cost of the bought items
= 216.3 u + 9.2 u
= 225.5 u
225.5 u = 1578.50
1 u = 1578.50 ÷ 225.50 = 7
Amount that she paid more for the rings than the bracelets
= 216.3 u - 9.2 u
= 207.1 u
= 207.1 x 7
= $1449.70
Answer(s): $1449.70