Tammy bought some rings and bracelets for her friends. The price of each ring was $2.90 while the price of each bracelet was $14.20. For every 7 bracelets bought, she was given one such ring for free. After receiving the free rings, the number of rings was
14 of the number of bracelets bought. If Tammy paid a total of $3250.40, how much more did she pay for the bracelets than the rings?
Bracelets |
Rings |
4x7 |
1x7 |
Bought |
Free |
Bought |
7x4 |
1x4 |
|
28 u |
4 u |
3 u |
|
Bracelets |
Rings |
|
Bought |
Free |
Bought |
Number |
28 u |
4 u |
3 u |
Value |
$14.20 |
0 |
$2.90 |
Total value |
397.6 u |
0 |
8.7 u |
The number of bracelets bought is the repeated identity. Make the number of bracelets bought the same. LCM of 4 and 7 is 28.
Cost of the bought bracelets
= 28 u x 14.20
= 397.6 u
Cost of the bought rings
= 3 u x 2.90
= 8.7 u
Total cost of the bought items
= 397.6 u + 8.7 u
= 406.3 u
406.3 u = 3250.40
1 u = 3250.40 ÷ 406.30 = 8
Amount that she paid more for the bracelets than the rings
= 397.6 u - 8.7 u
= 388.9 u
= 388.9 x 8
= $3111.20
Answer(s): $3111.20