Answer:
Round 1 = 0 points
Round 2 = 17 points
Round 3 = 25 points
Round 4 = 75 points
Explanation:
Determine how many points will be scored in each round in correspondence to the variable 'x':
Round 1:
0(x)
Round 2:
x
Round 3:
x+8
Round 4:
3(x+8)
We know that the sum of all points made in all rounds is 117. Using this information, we can make an equation:
0(x)+x+(x+8)+[3(x+8)]=117
Now, we solve for x:
x+x+8+3x+24=117
5x+32=117
5x=117-32
5x=85
x=17
Now we substitute the calculated value for x in each round:
Round 1:
0(17)=0
Round 2:
(17)=17
Round 3:
(17)+8= 25
Round 4:
(25)*3= 75