Question 1152018
Let {{{ x }}} = pounds of $7.28 coffee needed
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{{{ ( 6.42*7 + 7.28x ) / ( 7 + x ) = 7.2 }}}
{{{ ( 44.94 + 7.28x ) / ( 7 + x ) = 7.2 }}}
{{{ 44.94 + 7.28x = 7.2*( 7 + x ) }}}
{{{ 44.94 + 7.28x = 50.4 + 7.2x }}}
{{{ .08x = 5.46 }}}
{{{ x = 68.25 }}}
68.25 pounds of $7.28 coffee are needed
Hope this is clear
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check:
{{{ ( 6.42*7 + 7.28x ) / ( 7 + x ) = 7.2 }}}
{{{ ( 6.42*7 + 7.28*68.25 ) / ( 7 + 68.25 ) = 7.2 }}}
{{{ ( 44.94 + 496.86 ) / 75.25 = 7.2 }}}
{{{ 541.8 / 75.25 = 7.2 }}}
{{{ 541.8 = 541.8 }}}
OK