Question 1184379
<br>
Take a moment to read the problem and digest the given information to find a way to set the problem up so that it will be easy to solve.<br>
The bag is the most expensive of the three items, so....<br>
Let x = cost of the bag
Then (3/5)x = cost of the wallet
Then (2/5)((3/5)x) = (6/25)x = cost of the belt<br>
The cost of the bag was $380 more than the cost of the belt:<br>
{{{x = (6/25)x+380}}}
{{{(19/25)x = 380}}}
{{{x = 380(25/19)=20*25 = 500}}}<br>
The cost of the wallet was 3/5 the cost of the bag:<br>
{{{(3/5)(500)=300}}}<br>
ANSWER: The cost of the wallet was $300.<br>
CHECK:
bag: x=$500
wallet: 3/5 of $500 = $300
belt: 2/5 of $300 = $120
bag-belt = $500-$120 = $380<br>