Question 1092935
Let {{{ a }}} = pounds of orange slices
Let {{{ b }}} = pounds of strawberry leaves
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(1) {{{ a + b = 13 }}}
(2) {{{ 1.27a + 1.77b = 19.01 }}}
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(2) {{{ 127a + 177b = 1901 }}}
Multiply both sides of (1) by {{{ 127 }}}
and subtract (1) from (2)
(2) {{{ 127a + 177b = 1901 }}}
(1) {{{ -127a - 127b = -1651 }}}
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{{{ 50b = 250 }}}
{{{ b = 5 }}}
and
(1) {{{ a + 5 = 13 }}}
(1) {{{ a = 8 }}}
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8 pounds of orange slices
5 pounds of strawberry leaves
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check:
(2) {{{ 1.27a + 1.77b = 19.01 }}}
(2) {{{ 1.27*8 + 1.77*5 = 19.01 }}}
(2) {{{ 10.16 + 8.85 = 19.01 }}}
(2) {{{ 19.01 = 19.01 }}}
OK