Question 789711
{{{x}}}= amount of gummy worms to use in the mix, in pounds
{{{y)))= amount of Hot Tamales to be used in the mix, in pounds
{{{1.60x}}}= price of x pounds of gummy worms, in $
{{{2.50y}}}= price of y pounds of Hot Tamales, in $
{{{1.90*30}}}= price of 30 pounds of $1.90 a pound candy mix
 
Total amount balance equation:
{{{x+y=30}}}
Total price equation:
{{{1.60x+2.50y=1.90*30}}}
 
Simplifying:
{{{1.60x+2.50y=1.90*30}}}
{{{1.60x+2.50y=57}}}
{{{16x+25y=570}}}
 
Solving:
{{{system(x+y=30,16x+25y=570)}}}-->{{{system(x=30-y,16x+25y=570)}}}-->{{{system(x=30-y,16(30-y)+25y=570)}}}-->{{{system(x=30-y,16*30-16y+25y=570)}}}-->{{{system(x=30-y,480+9y=570)}}}-->{{{system(x=30-y,9y=570-480)}}}-->{{{system(x=30-y,9y=90)}}}-->{{{system(x=30-y,y=10)}}}-->{{{highlight(system(x=20,y=10))}}}
 
NOTE:
Your teacher may like to see a different format, and I may have showed too many steps, but if you understand how to reach the solution, you can adjust to the expected format.