Question 156070
If Torry has an {{{Average}}} of 97 for {{{6Tests}}}, so his total will be {{{6*97=highlight(582)points}}} 
Now, let the score for each test be {{{X}}}. SO, {{{T[1]=T[2]=T[3]=T[4]=T[5]=X}}}. And the condition that the last Test, {{{T[6]}}} is 12 less, so the score is {{{X-12}}}. Therefore adding the 6 Tests' score will total to {{{highlight(582)}}}. To show:
{{{T[1]+T[2]+T[3]+T[4]+T[5]+T[6]=582}}}
{{{X+X+X+X+X+X-12=582}}}
{{{6X=582+12}}}
{{{6X=594}}} ----> {{{cross(6)X/cross(6)=cross(594)99/cross(6)}}}
{{{X=99}}}--------------------------> SCORE for the 1st 5 tests {{{T[1]-T[5]}}}
{{{99-12=87}}} ---------------------> SCORE on the last test {{{T[6]}}}
In doubt? Let's add the total tests & the should equal to {{{highlight(582)}}}:
{{{99+99+99+99+99+87=582}}}
{{{582=582}}}
Thank you,
Jojo