Answer:
y is equal to 65 so 115 isn't a possible answer
7x+12y=155 and x+y=15 x represents hats and y represents t-shirts
Call x = 0.0151515... (i)
Multiply both sides by 100:
100x = 100 * 0.0151515...
100x = 1.5151515...
That can be expressed as this sum:
100x = 1.5 + 0.0151515... (ii)
Now, subtract (i) from (ii):
100x - x = 1.5 + 0.0151515... - 0.0151515..
99x = 1.5
Multiply both sides by 10, so you get rid of decimals:
10 * 99x = 10 * 1.5
990x = 15
Therefore,
x = 15/990
Now, reduce that fraction by dividing both numerator and denominator by gcd(15, 990) = 15, and you finally get
x = (15 : 15)/(990 : 15)
x = 1/66 <----- there it is.
0.0151515... = 1/66
I hope this helps. =)
Answer: Harry had 2/3 of a pie he got from his friend. He wanted to split half of it with his sister. What fraction of the cake does Harry have.