Question 158483
Hi, Hope I can help,
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Five more than {{{ 1/4 }}} of a number is {{{2/3}}} of that number. Find the number
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We are trying to find a number, since we need to find one number, we have 1 variable
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We will name the variable/number "x"
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Five more than {{{ 1/4 }}} of a number is {{{2/3}}} of that number. Find the number(replace "a number", and "that number" with "x")
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Five more than {{{ 1/4 }}} of "x" is {{{2/3}}} of "x". Find the number
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This is how you would write the equation
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{{{ (1/4)(x) + 5 = (2/3)(x) }}}
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We will multiply it out
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{{{ (1/4)(x) + 5 = (2/3)(x) }}} = {{{ (1/4)(x/1) + 5 = (2/3)(x/1) }}} = {{{ (x/4)+ 5 = (2x/3) }}}
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We will need to get rid of the fraction by multiplying each side by "12"
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{{{ (x/4)+ 5 = (2x/3) }}} = {{{ (12)((x/4)+ 5) = (12)(2x/3) }}} = {{{ (12)(x/4)+ (12)(5) = (12)(2x/3) }}} = {{{ (12/1)(x/4)+ (12/1)(5) = (12/1)(2x/3) }}} 
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{{{ (12/1)(x/4)+ (12/1)(5) = (12/1)(2x/3) }}} = {{{ (12x/4)+ 60 = (24x/3) }}} = {{{ (3x)+ 60 = (8x) }}} = {{{ 3x+ 60 = 8x }}}
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We will need to move "3x" to the right side
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{{{ 3x+ 60 = 8x }}} = {{{ 3x - 3x + 60 = 8x - 3x }}} = {{{  60 = 8x - 3x }}} = {{{  60 = 5x }}} = {{{  5x = 60 }}}
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To find "x"(our number) we will divide each side by "5"
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{{{  5x = 60 }}} = {{{  5x/5 = 60/5 }}} = {{{  x = 60/5 }}} = {{{  x = 12 }}}
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"12" is our number, we can check by replacing "x" with "12" in our equation
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{{{ (1/4)(x) + 5 = (2/3)(x) }}} = {{{ (1/4)(12) + 5 = (2/3)(12) }}} = {{{ (3) + 5 = (8) }}} = {{{ 3 + 5 = 8 }}} = {{{ 8 = 8 }}} (True)
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Your answer is {{{ 12 }}}
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Hope I helped, Levi