Question 501744
Let {{{b}}} = the weight of the barrel in pounds
given:
{{{ 100 - b }}} = weight of honey in pounds
{{{ 70 - b }}} = weight of kerosene in pounds
The barrel has the same volume in each weighing, so I can say
{{{ 100 - b = 3*(70 - b) }}}
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{{{ 100 - b = 210 - 3b }}}
{{{ 2b = 210 - 100 }}}
{{{ 2b = 110 }}}
{{{ b = 55 }}}
The barrel weighs 55 pounds
check:
{{{ 100 - b = 45 }}} (weight of just the honey)
{{{ 70 - b = 15 }}} (weight of just the kerosene)
{{{ 45 = 3*15 }}}
{{{ 45 = 45 }}}
OK