(This was in my adding integers quiz) Lisa owes the bank $60. She gets $85 for her birthday and deposits it into her account. Ho
2 answers:
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Answer:
1). System of equations- D + Q = 90 and D + 2.5Q = 175.50
2). There are 33 dimes and 57 quarters in the bank.
Step-by-step explanation:
Dylan has a bank that sorts coins as they are dropped in it.
A panel shows the total number of coins inside as well as the total value of these coins.
Let the number of dimes in the bank = D
and the number of quarters in the bank = Q
If the panel shows total number of coins = 90
Then the equation will be
D + Q = 90 -------(1)
And the panel displays the amount of the coins = $17.55
Then equation will be
0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]
D + 2.5Q = 175.50 ------------(2)
Now we subtract equation (1) form equation (2)
D + 2.5Q - (D + Q) = 175.50 - 90
D + 2.5Q - D - Q = 85.5
1.5Q = 85.5
Q =
= 57
By putting Q = 57 in the equation (1)
D + 57 = 90
D = 90 - 57 = 33
Therefore, there are 33 dimes and 57 quarters in the bank.
Answer:
The loaned amount at 11 % is $ 19,000
The loaned amount at 10 % is $ 2,500
Step-by-step explanation:
Given as :
The total loan amount = $21,500
The total interest earn = $2,340.00
The rate of interest are 11 % and 10 %
Let The loan amount at 11 % rate = $P
and The loan amount at 10 % rate = $21,500 - $P
Let The loan took for 1 year
Now,<u> From Simple Interest method </u>
Simple Interest =
=
Or, =
Similarly
=
∵ +
= $2,340
Or, +
= $2,340
Or, 11 P - 10 P + 215000 = 234000
Or, P = 234000 - 215000
∴ P = $ 19,000
And $21,500 - $ 19,000 = $ 2,500
Hence The loaned amount at 11 % is $ 19,000
And The loaned amount at 10 % is $ 2,500 Answer