Fanny bought some rings and bracelets for her friends. The price of each ring was $4.80 while the price of each bracelet was $11.50. 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 Fanny paid a total of $1303.50, 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 |
$11.50 |
0 |
$4.80 |
Total value |
241.5 u |
0 |
19.2 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 11.50
= 241.5 u
Cost of the bought rings
= 4 u x 4.80
= 19.2 u
Total cost of the bought items
= 241.5 u + 19.2 u
= 260.7 u
260.7 u = 1303.50
1 u = 1303.50 ÷ 260.70 = 5
Amount that she paid more for the bracelets than the rings
= 241.5 u - 19.2 u
= 222.3 u
= 222.3 x 5
= $1111.50
Answer(s): $1111.50