one third of Sam's saving is equal to two fifth of Brandon saving
If their total saving is $605, how much does Brandon has?
2007-08-15 23:47:03 · 5 answers · asked by narnia 2 in Science & Mathematics ➔ Mathematics
Let x = Brandon's savings, $605.00 - x = Sam's savings.
Equation:
1/3($605 - x) = 2/5x
$605/3 - 1/3x = 2/5x
$605/3 = 2/5x + 1/3x
$605/3 = 6/15x + 5/15x
$605/3 = 11/15x
($605/3) / (11/15) = x
$605/3 * 15/11 = x
x = $275.00
Answer: Brandon's savings is $275.00
If Brandon's savings is $275.00 then Sam's savings is $605.00 - $275.00 or $330.00
Proof (substitute the variables in the equation):
1/3($330.00) = 2/5($275.00)
$110.00 = $$110.00
2007-08-16 00:13:32 · answer #1 · answered by Jun Agruda 7 · 2⤊ 0⤋
Poor Narnia, you're yet to come to grips with elementary algebra, so here's the answer for you:
Let Sam's saving be S dollars, while that of Brandon be B
From your data, 1/3 * S = 2/5 * B .............1)
S + B = 605 .............2)
Simplify equation 1) by multiplying each side by 15 to get the form 5 *S = 6 * B or S = 6/5 * B .....3)
Substitute eqn 3) in eqn 2) to get
6/5 * B + B = 605 or B = 275 dollars
S = 330 dollars
2007-08-16 00:23:52 · answer #2 · answered by Paleologus 3 · 0⤊ 0⤋
1/3 s = 2/5 b, so s = 6/5b
b + 6/5 b = 605, and 11/5 b = 605, and b = 275.
2007-08-15 23:53:17 · answer #3 · answered by John V 6 · 0⤊ 0⤋
1/3x + 2/5x = 605
Multiply both sides of the equation by 15
15(1/3x) + 15(2/5x) = 15(605)
5x + 6x = 9075
Collect like terms
11x = 9075
Divide both sides of the equation by 11
11x / 11 = 9075 / 11
x = 9075 / 11
x = 825
Insert the x value into the equation
- - - - - - -
1/3x + 2/5x = 605
1/3(825) + 2/5(825) = 6-5
825/3 + 1650/5 = 605
275 + 330 = 605
605 = 605
- - - - - - - -
Bradon has $ 330.00
- - - - - - s-
2007-08-16 01:33:44 · answer #4 · answered by SAMUEL D 7 · 0⤊ 0⤋
1/3S=2/5B
S+B=605
s=6/5B
6/5B+B=605
11/5B=605
B=5*605/11=275
S=605-275=330
2007-08-16 00:21:05 · answer #5 · answered by Anonymous · 0⤊ 0⤋