Min bought some rings and bracelets for her friends. The price of each ring was $3.10 while the price of each bracelet was $10.50. For every 7 bracelets bought, she was given one such ring for free. After receiving the free rings, the number of rings was
13 of the number of bracelets bought. If Min paid a total of $2794.80, how much more did she pay for the bracelets than the rings?
Bracelets |
Rings |
3x7 |
1x7 |
Bought |
Free |
Bought |
7x3 |
1x3 |
|
21 u |
3 u |
4 u |
|
Bracelets |
Rings |
|
Bought |
Free |
Bought |
Number |
21 u |
3 u |
4 u |
Value |
$10.50 |
0 |
$3.10 |
Total value |
220.5 u |
0 |
12.4 u |
The number of bracelets bought is the repeated identity. Make the number of bracelets bought the same. LCM of 3 and 7 is 21.
Cost of the bought bracelets
= 21 u x 10.50
= 220.5 u
Cost of the bought rings
= 4 u x 3.10
= 12.4 u
Total cost of the bought items
= 220.5 u + 12.4 u
= 232.9 u
232.9 u = 2794.80
1 u = 2794.80 ÷ 232.90 = 12
Amount that she paid more for the bracelets than the rings
= 220.5 u - 12.4 u
= 208.1 u
= 208.1 x 12
= $2497.20
Answer(s): $2497.20