Answer:
The amount put in the account that paid 5% was $4,500 and the amount put in the account that paid 7.5% was $3,000
Step-by-step explanation:
Let
x -----> the amount put in the account that paid 5%
$7,500-x -----> the amount put in the account that paid 7.5%
in this problem we have
[tex]6\%=6/100=0.06[/tex]
[tex]5\%=5/100=0.05[/tex]
[tex]7.5\%=7.5/100=0.075[/tex]
so
[tex]7,500(0.06)=x(0.05)+(7,500-x)0.075[/tex]
[tex]450=0.05x+562.5-0.075x[/tex]
[tex]0.075x-0.050x=562.5-450[/tex]
[tex]0.025x=112.5[/tex]
[tex]x=\$4,500[/tex]
[tex]\$7,500-x=\$3,000[/tex]
therefore
The amount put in the account that paid 5% was $4,500 and the amount put in the account that paid 7.5% was $3,000
