Question 1055067
Let {{{ a }}} = the number of forks they made
Let {{{ b }}} = the number of spoons they made
--------------------------------------------
(1) {{{ 1.7a + 1.3b = 37.9 }}}
(2) {{{ 5.6a + 5.4b = 147.2 }}}
-------------------------------
(1) {{{ 17a + 13b = 379 }}}
(2) {{{ 56a + 54b = 1472 }}}
---------------------------
(2) {{{ 28a + 27b = 736 }}}
---------------------------
This is a little tough. I think I will
multiply both sides of (1) by {{{ 27 }}}
and both sides of (2) by {{{ 13 }}}
Then I'll subtract (2) from (1)
-----------------------------------
(1) {{{ 459a + 351b = 10233 }}}
(2) {{{ -364a - 351b = -9568 }}}
-----------------------------------
{{{ 95a = 665 }}}
{{{ a = 7 }}}
and
(1) {{{ 17a + 13b = 379 }}}
(1) {{{ 17*7 + 13b = 379 }}}
(1) {{{ 119 + 13b = 379 }}}
(1) {{{ 13b = 260 }}}
(1) {{{ b = 20 }}}
---------------------------
They made 7 forks and 20 spoons last April
-----------------
check:
(1) {{{ 1.7a + 1.3b = 37.9 }}}
(1) {{{ 1.7*7 + 1.3*20 = 37.9 }}}
(1) {{{ 11.9 + 26 = 37.9 }}}
(1) {{{ 37.9 = 37.9 }}}
OK
You can check (2)