Answer:
28
Step-by-step explanation:
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Next, identify the numbers.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Finally, convert everything into an equation.
42
=
2
⋅
blouse
−
14
Now, solve the equation.
56
=
2
⋅
b
l
o
u
s
e
b
l
o
u
s
e
=
28
The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
This is Transitive Property.
Blame me if you get it wrong :\
