Min bought some rings and bracelets for her friends. The price of each ring was $2.40 while the price of each bracelet was $13.70. For every 7 bracelets bought, she was given one such ring for free. After receiving the free rings, the number of rings was
15 of the number of bracelets bought. If Min paid a total of $3390.10, how much more did she pay for the bracelets than the rings?
Bracelets |
Rings |
5x7 |
1x7 |
Bought |
Free |
Bought |
7x5 |
1x5 |
|
35 u |
5 u |
2 u |
|
Bracelets |
Rings |
|
Bought |
Free |
Bought |
Number |
35 u |
5 u |
2 u |
Value |
$13.70 |
0 |
$2.40 |
Total value |
479.5 u |
0 |
4.8 u |
The number of bracelets bought is the repeated identity. Make the number of bracelets bought the same. LCM of 5 and 7 is 35.
Cost of the bought bracelets
= 35 u x 13.70
= 479.5 u
Cost of the bought rings
= 2 u x 2.40
= 4.8 u
Total cost of the bought items
= 479.5 u + 4.8 u
= 484.3 u
484.3 u = 3390.10
1 u = 3390.10 ÷ 484.30 = 7
Amount that she paid more for the bracelets than the rings
= 479.5 u - 4.8 u
= 474.7 u
= 474.7 x 7
= $3322.90
Answer(s): $3322.90