Question 654603
Let {{{ d }}} = number of dimes
Let {{{ q }}} = number of quarters
given:
(1) {{{ d + q = 26 }}}
(2) {{{ 10d + 25q = 395 }}} ( in cents )
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Multiply both sides of (1) by {{{ 10 }}}
and subtract (1) from (2)
(2) {{{ 10d + 25q = 395 }}}
(1) {{{ -10d - 10q = -260 }}}
{{{ 15q = 135 }}}
{{{ q = 9 }}}
and, since
(1) {{{ d + 9 = 26 }}}
(1) {{{ d = 17 }}}
Jose has 17 dimes and 9 quarters
check:
(2) {{{ 10*17 + 25*9 = 395 }}}
(2) {{{ 170 + 225 = 395 }}}
(2) {{{ 395 = 395 }}}
OK