Kylie bought some rings and bracelets for her friends. The price of each ring was $2.60 while the price of each bracelet was $12.10. 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 Kylie paid a total of $2240.40, 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 |
$12.10 |
0 |
$2.60 |
Total value |
181.5 u |
0 |
5.2 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 12.10
= 181.5 u
Cost of the bought rings
= 2 u x 2.60
= 5.2 u
Total cost of the bought items
= 181.5 u + 5.2 u
= 186.7 u
186.7 u = 2240.40
1 u = 2240.40 ÷ 186.70 = 12
Amount that she paid more for the bracelets than the rings
= 181.5 u - 5.2 u
= 176.3 u
= 176.3 x 12
= $2115.60
Answer(s): $2115.60