Amount in Han wallet = $ 80
Amount in amad wallet = $ 13
Amount in karen wallet = $ 20
<u>Solution:</u>
Let "h" be the amount in Han's wallet
Let "k" be the amount in karen wallet
Let "a" be the amount in amad wallet
<em><u>They have a total of 113 in their wallet</u></em>
Therefore,
h + k +a = 113 ------- eqn 1
<em><u>If hans has 4 times the amount of karen</u></em>
Amount with Han = 4 times the amount with Karen
h = 4k ------- eqn 2
<em><u>And karen has 7 dollars more than amad</u></em>
k = 7 + a
a = k - 7 ---------- eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>
4k + k + k - 7 = 113
6k - 7 = 113
6k = 113 + 7
6k = 120
k = 20
<em><u>Substitute k = 20 in eqn 3</u></em>
a = 20 - 7
a = 13
<em><u>Substitute k = 20 in eqn 2</u></em>
h = 4k = 4(20) = 80
h = 80
<em><u>Summarizing the results:</u></em>
Amount in Han wallet = $ 80
Amount in amad wallet = $ 13
Amount in karen wallet = $ 20