Question

Mia wants to deposit $3,886 into savings accounts at three different banks: Bank of the US, 7/4 Bank, and Catch Bank. She will deposit three times as much into Bank of the US as 7/4 Bank because they offer a higher interest rate. She also expects the Catch Bank deposit to be 45% of the total of the other two deposits. How much will Mia deposit into the Catch Bank savings account?

$670

$1,206

$1,340

$2,010

Answer 1

u = bank of the u.s
s = 7/4 bank
c = catch bank

u + s + c = 3886
u = 3s
c = .45(u + s)

c = .45(3s + s)
c = .45(4s)
c = 1.8s

now sub known values into 1st equation
u + s + c = 3886
3s + s + 1.8s = 3886
5.8s = 3886
s = 3886/5.8
s = 670

u = 3s
u = 3(670)
u = 2010

u + s + c = 3886
2010 + 670 + c = 3886
2680 + c = 3886
c = 3886 - 2680
c = 1206

check...
u = 3s
2010 = 3(670)
2010 = 2010 (correct)
or...
c = 1.8s
1206 = 1.8(670)
1206 = 1206 (correct)
or...
u + s + c = 3886
2010 + 670 + 1206 = 3886
3886 = 3886 (correct)

Catch Bank deposit is $ 1206

Answer 2

THANK YOU SOOO MUCH!!

Answer 3

its ok.....I don't mind helping out :)

Answer 4

Can you help me with this one please?
Edward received a gift card for $85 to a movie theater. He may use the gift card for either admission tickets or snacks. Tickets cost $7.50 and his favorite snack costs $3.75. If he wants to use his gift card for at least 15 individual purchases, which is a combination of tickets and snacks Edward may purchase?

7 tickets and 8 snacks

10 tickets and 6 snacks

8 tickets and 6 snacks

11 tickets and 3 snacks

Answer 5

t stands for tickets
s stands for snacks

t + s = 15 --> s = 15 - t
7.5t + 3.75s = 85

now sub 15 - t in for s in the 2nd equation
7.5t + 3.75s = 85
7.5t + 3.75(15 - t) = 85
7.5t + 56.25 - 3.75t = 85
3.75t = 85 - 56.25
3.75t = 28.75
t = 28.75/3.75
t = 7.6 rounded down to 7

sub in 8 for t in the 1st equation
t + s = 15
7 + s = 15
s = 15 - 7
s = 8

7 tickets and 8 snacks