Question 922769
(1) {{{ (5/8)*a = (5/9)*c }}}
(2) {{{ a + c = 170 }}}
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Divide both sides of (1) by {{{5}}}
(1) {{{ (1/8)*a = (1/9)*c }}}
(1) {{{ a = (8/9)*c }}}
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By substitution:
(2) {{{ (8/9)*c + c = 170 }}}
(2) {{{ (17/9)*c = 170 }}}
(2) {{{ c = (9/17)*170 }}}
(2) {{{ c = 90 }}}
and
(1) {{{ a = (8/9)*c }}}
(1) {{{ a = (8/9)*90 }}}
(1) {{{ a = 80 }}}
There are 80 avocados and 90 chicos
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check:
(1) {{{ (5/8)*a = (5/9)*c }}}
(1) {{{ (5/8)*80 = (5/9)*90 }}}
(1) {{{ 50 = 50 }}}
OK