Question 802468
Let {{{ a }}} = number of {{{ 1 }}} point questions
Let {{{ b }}} = number of {{{ 8 }}} point questions
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(1) {{{ a + b = 74 }}}
(2) {{{ 1*a + 8*b = 130 }}}
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Subtract (1) from (2)
(2) {{{ a + 8b = 130 }}}
(1) {{{ -a - b = -74 }}}
{{{ 7b = 56 }}}
{{{ b = 8 }}}
and, since
(1) {{{ a + 8 = 74 }}}
(1) {{{ a = 66 }}}
66= number of {{{ 1 }}} point questions
8 = number of {{{ 8 }}} point questions
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check:
(2) {{{ 66 + 8*8 = 130 }}}
(2) {{{ 66 + 64 = 130 }}}
(2) {{{ 130 = 130 }}}
OK