Question 1098810
X-number of true false questions
Y-number of multiple choice questions
Z-number of essay questions
.
.
1.{{{2X+5Y+10Z=247}}}
2.{{{Y=24+X}}}
3.{{{Y=7Z}}}
From 2,
{{{X=Y-24}}}
From 3,
{{{Z=Y/7}}}
Substituting into 1,
{{{2(Y-24)+5Y+10(Y/7)=247}}}
Multiplying both sides by 7,
{{{14(Y-24)+35Y+10Y=1729}}}
{{{14Y-336+45Y=1729}}}
{{{59Y=2065}}}
Solve for Y then use the other equations to solve for X and Z.