Question 439582
Let {{{g[s]}}} = average monthly summer gas bill
Let {{{g[w]}}} = average monthly winter gas bill
Let {{{e[s]}}} = average monthly summer electric bill
Let {{{e[w]}}} = average monthly winter electric bill
given:
(1) {{{ g[w] = 142 }}}
(2) {{{ e[w] = 52 }}}
(3) {{{ g[s] = (1/2)*g[w] }}}
(4) {{{ e[s] = e[w] + 26 }}}
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There are 4 equations and 4 unknowns, so it's solvable
Substitute (1) in (3)
(3) {{{ g[s] = (1/2)*142 }}}
{{{ g[s] = 71 }}}
Substitute (2) in (4)
(4) {{{ e[s] = 52 + 26 }}}
{{{ e[s] = 78 }}}
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{{{ 2*(g[s] + e[s]) = 2*( 71 + 78) }}}
{{{ 2*(g[s] + e[s]) = 298 }}}
For July and August, he should set aside $298