Question 823780
They split 8 packets 3 ways, so each one
got {{{ 8/3 }}} of a packet
So, John's share was {{{ 8/3 }}} of a packet
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Ali bought {{{ 5/8 }}} of the 8 packets
Mary bought {{{ 3/8 }}} of the 8 packets
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Let {{{ c }}} = the cost/packet
{{{ (8/3)*c = 40 }}}
{{{ c = (3/8)*40 }}}
{{{ c = 15 }}} cents
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The cost of 8 packets is {{{ 8*15 = 120 }}} cents
Ali gets {{{ (5/8)*( 120/3 ) = 25 }}} from each of the 3 people
Mary gets {{{ (3/8)*( 120/3 ) = 15 }}} from each of the 3 people
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John pays 25 cents to Ali and 15 cents to Mary
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check:
{{{ 25*3 + 15*3 = 120 }}}
{{{ 75 + 45 = 120 }}}
{{{ 120 = 120 }}}
OK