Question 1109502
Let {{{ a }}} = number of 1 point shots
Let {{{ b }}} = number of 2 point shots
------------------------------------
(1) {{{ a + b = 53 }}}
(2) {{{ 1*a + 2*b = 91 }}}
--------------------------
Subtract (1) from (2)
(2) {{{ a + 2b = 91 }}}
(1) {{{ -a - b = -53 }}}
---------------------
{{{ b = 38 }}}
and
(1) {{{ a + 38 = 53 }}}
(1) {{{ a = 15 }}}
---------------------
There were 15 1-point shots and
38 2-point shots
--------------------------------
check:
(2) {{{ a + 2b = 91 }}}
(2) {{{ 15 + 76 = 91 }}}
(2) {{{ 91 = 91 }}}
OK