# Some math questions.1. What is the value of x? 1/4x - 8 + 2/4x = 19 x = ___2. Which expressions could complete this equation so that it has one solution?4(4x - 3) - 6x = ___Choose exactly two answers that are correct.A.12x - 12 - 2xB.9x - 12C.4x + 2 (3x - 6)D.4(2x + 3) - 243. David opens a bank account with \$140 and then deposits \$150 each month. Louis opens a bank account with \$260 and deposits \$120 each month. How many months will it take for David and Louis to have equal amounts of money in their accounts?A.2 B.4 C.5 D.7

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by MasterChief

2014-11-13T01:34:20+05:30

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x / 4  - 8 + 2 x /4 = 19
(1/4 + 2/4) x = 19 +8
(3/4 ) x = 27
x = 27 * 4/3 = 9 * 4 = 36

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For the options A and C, we get
4(4x - 3) - 6x = 10 x -12
so we get  10x = 10 x   this is true for any value of x.

But for B and D, we get
4(4x - 3) - 6x =  9x - 12    =>   x = 0
4(4x - 3) - 6x = 8 x - 12        =>  x = 0
there is one solution, x =0  for B and D.

====================

Difference between the balances in the two accounts at the beginning :
= \$ 260 - \$ 140 = \$ 120
Difference in the deposit amount = \$ 150 - \$ 120 = \$ 30

So the difference in balances reduces by \$ 30 each month.  So it will take \$120/\$30 = 4 months to even out.

Alternate method
============

Balance in David's account after x months = \$ 140 + \$ 150 * x
Balance in Louis acount after x months = \$ 260 + \$120 * x

\$ 140 + \$ 150 * x =  \$ 260 + \$120 * x

\$ (150  - \$120) x =   \$260 - \$ 140
30 * x = 120
x = 4

Thanks alot.
2014-11-13T19:09:31+05:30
1.

1/4x - 8 + 2/4x = 19
1/4x + 2/4x = 19 + 8
Taking x as common

( 1/4 + 2/4) x = 27
(3/4) x = 27
x= 24 × 4/3
x= 9 × 4
x = 36

2.

4(4x - 3) - 6x =

For A option
4(4x - 3) - 6x = 12x - 12 - 2x
16x - 12 - 6x = 10x -12
10x -12 = 10x -12

For option B
4(4x - 3) - 6x = 9x - 12
16x -12 -6x = 9x -12
10x -12 =9x -12
x = 0.

For option C.
4(4x - 3) - 6x =4x + 2 (3x - 6)
10x - 12 = 4x + 6x - 12
10x -12 =10x - 12

For option D
4(4x - 3) - 6x =4(2x + 3) - 24
10x - 12 = 8x + 12 - 24
10x -8x = -12 + 12
2x= 0
x= 0.
Hence option A and C are correct.

3.

Difference between the balances Louis   = \$ 260 - \$ 140 = \$ 120
Difference in the deposit amount David  = \$ 150 - \$ 120 = \$ 30

The difference in balances reduces by \$ 30 each month.  So it will take \$120/\$30 = 4 months

Hence option B is correct.
i think 2.4s + 5.6(14 – s) = 49.6
c option
How did you get it? This is my main problem (The main type that keeps failing me with the others)
Let the number of small small pots = s
Therefore total cost of small pots = 2.4s
Total number of pots bought is 14
So the number of large pots bought = 14-s
Hence the Total cost of large pots = 5.6(14-s)
thanks ALOT. You will probably see me around, i have a few questions here and there......Thanks alot though :)