Question 882378
(1) {{{ d/r = 2/3 }}}
(2) {{{ s/d = 5/1 }}}
(3) {{{ d + r + s = 30 }}}
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(1) {{{ r/d = 3/2 }}}
Divide both sides of (3) by {{{d}}}
(3) {{{ 1 + r/d + s/d = 30/d }}}
and, from (1) and (2):
(3) {{{ 1 + 3/2 + 5 = 30/d }}}
(3) {{{ 15/2 = 30/d }}}
(3) {{{ d = 4 }}}
and
(2) {{{ s/d = 5 }}}
(2) {{{ s = 5d }}}
(2) {{{ s = 5*4 }}}
(2) {{{ s = 20 }}}
The are 20 sapphires
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check:
(1) {{{ r/d = 3/2 }}}
(1) {{{ r = (3/2)*4 }}}
(1) {{{ r = 6 }}}
and
(3) {{{ d + r + s = 30 }}}
(3) {{{ 4 + 6 + 20 = 30 }}}
(3) {{{ 30 = 30 }}}
OK