Question 732166
Let {{{ p }}} = number of pennies
Let {{{ n }}} = number of nickels
Let {{{ d }}} = number of dimes
Let {{{ q }}} = number of quarters
given:
(1) {{{ p + 5n + 10d + 25q = 292 }}} ( in cents )
(2) {{{ p = q + 2 }}}
(3) {{{ d = q + 3 }}}
(4) {{{ n = 2d }}}
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Substitute (4) into (1)
(1) {{{ p + 5*(2d) + 10d + 25q = 292 }}} 
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Substitute (2) into (1)
(1) {{{ q + 2 + 10d + 10d + 25q = 292 }}} 
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Substitute (3) into (1)
(1) {{{ q + 2 + 20*( q + 3 ) + 25q = 292 }}} 
(1) {{{ q + 2 + 20q + 60 + 25q = 292 }}}
(1) {{{ 46q = 230 }}}
(1) {{{ q = 5 }}}
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You can continue. I have to run and can't finish.