Question 1044313
Let {{{ a }}} = minutes spent speaking in Hungarian
Let {{{ b }}} = minutes spent speaking in Polish
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(1) {{{ a + b = 5 }}}
(2) {{{ 150a + 270 = 190b }}}
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(2) {{{ 15a + 27 = 19b }}}
(2) {{{ -15a + 19b = 27 }}}
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Multiply both sides of (1) by {{{ 15 }}}
and add (1) and (2)
(1) {{{ 15a + 15b = 75 }}}
(2) {{{ -15a + 19b = 27 }}}
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{{{ 34b = 102 }}}
{{{ b = 3 }}}
and
(1) {{{ a + b = 5 }}}
(1) {{{ a + 3 = 5 }}}
(1) {{{ a = 2 }}}
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Sakura spent 2 min speaking in Hungarian
and 3 min speaking in Polish
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check:
(2) {{{ 150a + 270 = 190b }}}
(2) {{{ 150*2 + 270 = 190*3 }}}
(2) {{{ 300 + 270 = 570 }}}
(2) {{{ 570 = 570 }}}
OK