Respuesta :
a = deposit at US bank
b = deposit at 7/4 bank
c = deposit at Catch bank.
we know her total is 3886, thus a + b + c = 3886.
now, we know whatever "b" is, the amount at US bank, "a", is 3 times that much, thus a = 3b.
(3b) + b + c = 3886.
whatever% of anything, is just (whatever/100) * anything.
we know Catch bank gets 45% of whatever the sum of the other two is, well, US bank gets "3b", 7/4 bank gets "b", their total is 3b + b = 4b, and Catch bank gets 45% of that, (45/100) * 4b
[tex]\bf \stackrel{US~bank}{3b}~+~\stackrel{7/4~bank}{b}~+~\stackrel{Catch~bank}{\frac{45}{100}(4b)}~=~3886 \\\\\\ 4b+\cfrac{9}{5}b=3886\impliedby \textit{let's multiply both sides by }\stackrel{LCD}{5} \\\\\\ 20b+9b=19430\implies 29b=19430\implies b=\cfrac{19430}{29}\implies b=670[/tex]
how much is it for the Catch bank? well, (45/100) * 4(670).
b = deposit at 7/4 bank
c = deposit at Catch bank.
we know her total is 3886, thus a + b + c = 3886.
now, we know whatever "b" is, the amount at US bank, "a", is 3 times that much, thus a = 3b.
(3b) + b + c = 3886.
whatever% of anything, is just (whatever/100) * anything.
we know Catch bank gets 45% of whatever the sum of the other two is, well, US bank gets "3b", 7/4 bank gets "b", their total is 3b + b = 4b, and Catch bank gets 45% of that, (45/100) * 4b
[tex]\bf \stackrel{US~bank}{3b}~+~\stackrel{7/4~bank}{b}~+~\stackrel{Catch~bank}{\frac{45}{100}(4b)}~=~3886 \\\\\\ 4b+\cfrac{9}{5}b=3886\impliedby \textit{let's multiply both sides by }\stackrel{LCD}{5} \\\\\\ 20b+9b=19430\implies 29b=19430\implies b=\cfrac{19430}{29}\implies b=670[/tex]
how much is it for the Catch bank? well, (45/100) * 4(670).
