Let $x be invested in the account that paid 5% simple interest.
Let $y be invested in the account that paid 10% simple interest.
The total invested is $10,000, therefore
x + y = 10000 (1)
The interest amounts earned are respectively
x*1*0.06 = 0.06x
y*1*0.10 = 0.10y
The total interest earned is $760, therefore
0.06x + 0.10y = 760
Multiply through by 10 to obtain
0.6x + y = 7600 (2)
Subtract (2) from (1).
x + y - (0.6x + y) = 10000 - 7600
0.4x = 2400
x = $6,000
From )1), obtain
y = 10000 - 6000 = $4,000
Answer:
$6,000 in the account paying 6% simple interest, and
$4,000 in the account paying 10% simple interest.
Let the number be "x"
4x - 7 = 3x + 2
isolate the x, move all numbers with variables to one side, and all constants to the other.
4x (-3x) - 7 (+7) = 3x (-3x) + 2 (+7)
4x - 3x = 2 + 7
simplify, combine like terms
x = 9
x = 9 is your answer
hope this helps
It's A
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