For homework, Ari had to find 5% of $900. Did he do the work correctly? A tape diagram. There are 5 parts out of a whole of 100.
There are question mark parts out of a whole of 900. StartFraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 EndFraction = StartFraction 18,000 Over 900 EndFraction Are Ari’s calculations correct? No. Ari multiplied the denominators incorrectly. No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction No. Ari should have divided, not multiplied. Yes. Ari’s work is correct.
X=6 because you add the two like segments of AB and BC together to get 6x-8=28. So then you add the 8 to both sides and get 6x=36 and divide by 6 to get x=6.