Question 183449
Let {{{c}}}= pounds of cashews bought
Let {{{r}}}= pounds of raisins bought
given:
(1) {{{c + r = 6}}} lb
(2) {{{795c + 195r = 2070}}} (numbers are cents)
2 equations and 2 unknowns mean it's solvable
----------------------------
Multiply both sides of (1) by 195 and subtract it
from (2)
(2) {{{795c + 195r = 2070}}}
(1) {{{-195c - 195r = -1170}}}
(3) {{{600c = 900}}}
(3) {{{c = 1.5}}}
Plug this result back into (1)
(1) {{{1.5 + r = 6}}}
(1) {{{r = 4.5}}}
She bought 1.5 lb of cashews and 4.5 lb of raisins
check answer:
(2) {{{795c + 195r = 2070}}}
(2) {{{795*1.5 + 195*4.5 = 2070}}}
(2) {{{1192.5 + 877.5 = 2070}}}
(2) {{{2070 = 2070}}}
OK