Question 1054177
Let {{{ a }}} = the quarterly dividend 
from 1 share of the oil company
Let {{{ b }}} = the quarterly dividend 
from 1 share of the movie company
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(1) {{{ 300a + 250b = 187.5 }}}
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{{{ 300 - 120 = 180 }}}
{{{ 250 + 120 = 370 }}}
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(2) {{{ 180a + 370b = 211.5 }}}
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Divide both sides of (1) and (2) by {{{ 25 }}}
(1) {{{ 12a + 10b = 7.5 }}}
(2) {{{ 7.2a + 14.8b = 8.46 }}}
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Multiply both sides of (1) by {{{ 10 }}}
Multiply both sides of (2) by {{{ 100 }}}
(1) {{{ 120a + 100b = 75 }}}
(2) {{{ 720a + 1480b = 846 }}}
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Multiply both sides of (1) by {{{ 6 }}}
and subtract (1) from (2)
(2) {{{ 720a + 1480b = 846 }}}
(1) {{{ -720a -  600b = -450 }}}
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{{{ 880b = 396 }}}
{{{ b = .45 }}}
and
(1) {{{ 120a + 100b = 75 }}}
(1) {{{ 120a + 100*.45 = 75 }}}
(1) {{{ 120a = 75 - 45 }}}
(1) {{{ 120a = 30 }}}
(1) {{{ a = .25 }}}
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The quarterly dividend 
from 1 share of the oil company
= $.25
The quarterly dividend 
from 1 share of the movie company
= $.45
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check answer:
(1) {{{ 300a + 250b = 187.5 }}}
(1) {{{ 300*.25 + 250*.45 = 187.5 }}}
(1) {{{ 75 + 112.5 = 187.5 }}}
(1) {{{ 187.5 = 187.5 }}}
and
(2) {{{ 180a + 370b = 211.5 }}}
(2) {{{ 180*.25 + 370*.45 = 211.5 }}}
(2) {{{ 45 + 166.5 = 211.5 }}}
(2) {{{ 211.5 = 211.5 }}}
OK