Jade bought some rings and bracelets for her friends. The price of each ring was $2.20 while the price of each bracelet was $14.30. For every 5 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 Jade paid a total of $1532.30, how much more did she pay for the bracelets than the rings?
Bracelets |
Rings |
3x5 |
1x5 |
Bought |
Free |
Bought |
5x3 |
1x3 |
|
15 u |
3 u |
2 u |
|
Bracelets |
Rings |
|
Bought |
Free |
Bought |
Number |
15 u |
3 u |
2 u |
Value |
$14.30 |
0 |
$2.20 |
Total value |
214.5 u |
0 |
4.4 u |
The number of bracelets bought is the repeated identity. Make the number of bracelets bought the same. LCM of 3 and 5 is 15.
Cost of the bought bracelets
= 15 u x 14.30
= 214.5 u
Cost of the bought rings
= 2 u x 2.20
= 4.4 u
Total cost of the bought items
= 214.5 u + 4.4 u
= 218.9 u
218.9 u = 1532.30
1 u = 1532.30 ÷ 218.90 = 7
Amount that she paid more for the bracelets than the rings
= 214.5 u - 4.4 u
= 210.1 u
= 210.1 x 7
= $1470.70
Answer(s): $1470.70