Question 1192915
<br>
x = # of type A switches made
y = # of type B switches made<br>
Each type A switch takes 3 minutes to make; each type B switch takes 6 minutes; the total time was 36 hours = 2160 minutes.<br>
{{{3x+6y=2160}}}
{{{x+2y=720}}} [1]<br>
Each type A switch uses $2 worth of materials; each type B switch uses $6 worth of materials; the total cost of the materials used was $1960.<br>
{{{2x+6y=1960}}}
{{{x+3y=980}}} [2]<br>
The two equations are in the form that make it clear that solving the pair of equations by elimination is easiest.<br>
{{{x+3y=980}}}
{{{x+2y=720}}}
{{{y=260}}}<br>
{{{x+2(260)=720}}}
{{{x+520=720}}}
{{{x=200}}}<br>
ANSWER: x=200 type A switches; y=260 type B switches<br>