Step-by-step explanation:
Let
x
be the kg of coffee of brand A in the mix and
y
be the kg of coffee of brand B in the mix.
The total kg must be
50
.
x
+
y
=
50
The cost per kg of the mix must br
$
7.20
. For this, the total cost of the mix will be
6
x
+
8
y
, so the total cost per kg of the mix will be
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by
6
to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need
30
kg of brand B in our mix. This means that
50
−
30
=
20
kg will be of brand A.
80-30=50 your answer would be 50
7/12 14/24 21/36 28/48 35/60
Let
Y be the age of Franco's dad.
X Franco's age
Y = 3*X (1)
(Y +10) = 2*(X+10) +2 (2)
(3*X +10) = 2*X +20 +2
(3-2)X = 22 -10
X = 12 years old (Franco)
Y = 3*12 = 36 years old (Franco's dad)
Given that
starting outstanding balance = $150000
rate of interest = 7.5% per year
so rate of interest for 1 month = (7.5/12)% = 0.635%
outstanding balance before 1st monthly payment = starting outstanding balance + 0.625% of interest on starting outstanding balance
= 150000 + (0.625 /100) × 150000
= 150000 + 937.5 = $150937.5
Reduction = outstanding balance after one month - first monthly payment
Reduction = $150937.5 - 1010.10 = 149927.40
so out of first payment of $1,010.10 , $937.5 goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.
so correct option is B that is $149927.40.
