Question 943589
Sugar cones?
Just kidding
---------------
Let {{{ a }}} = number of soft serve cones
Let {{{ b }}} = number of hard serve cones
----------------
(1) {{{ a + b = 73 }}}
(2) {{{ 2.25a + 1.25b = 125.25 }}}
------------------------------
(2) {{{ 225a + 125b = 12525 }}}
(2) {{{ 9a + 5b = 501 }}}
------------------------
Multiply both sides of (1) by {{{ 5 }}}
and subtract (1) from (2)
(2) {{{ 9a + 5b = 501 }}}
(1) {{{ -5a - 5b = -365 }}}
-----------------------
{{{ 4a = 136 }}}
{{{ a = 34 }}}
and
(1) {{{ 34 + b = 73 }}}
(1) {{{ b = 39 }}}
There were 34 soft serve cones
There were 39 hard serve cones
----------------
check:
(2) {{{ 2.25*34 + 1.25*39 = 125.25 }}}
(2) {{{ 76.5 + 48.75 = 125.25 }}}
(2) {{{ 125.25 = 125.25 }}}
OK