Question 1155891
Let {{{ a }}} = hrs/client for plan A
Let {{{ b }}} = hrs/client for plan B
Add up total hrs for Monday
(1) {{{ 5a + 3b = 9 }}}
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Add up total hrs for Tuesday
(2) {{{ 2a + 12b = 9 }}}
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Multiply both sides of (1) by {{{ 4 }}} and
subtract (2) from (1)
(1) {{{ 20a + 12b = 36 }}}
(2) {{{ -2a - 12b = -9 }}}
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{{{ 18a = 27 }}}
{{{ a = 3/2 }}}
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(1) {{{ 5*(3/2) + 3b = 9 }}}
(1) {{{ 15/2 + 3b = 18/2 }}}
(1) {{{ 3b = 3/2 }}}
(1) {{{ b = 1/2 }}}
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Plan A lasts 1.5 hrs
Plan B lasts .5 hrs
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check the math