Let's fix up this question first.
Arturo had some marbles. 1/4 of the marbles were blue, 3/12 of the marbles were red, and the rest were yellow. There were 14 more yellow marbles than red marbles. How many marbles did Arturo have altogether?
Now we can solve this problem.
1 : 1 : 2
1/4 blue 3/12 red yellow
x + x = x + 14
x = 14
Arturo had 56 marbles.
A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has a radius of 1/3x. Find the height of the cone in terms of y.
The height of a cylinder y = V / r2pi
The height of a cone (n)y = 3V / (r / 3)2pi
(n)y / y = [3V / (r / 3)2pi] / (V / r2pi) = 27
The height of a cone = 27y
The ratio of the number of marbles Kaden, Adam, and John gave away was 2:4:9. The number of marbles Kaden gave away was 2 fewer than the number of marbles he had left. Adam had 1/2 as many marbles left as John. Kaden had 1/2 as many marbles left as Adam. They had a total of 56 marbles left. How many marbles did John give away?
John gave away 27 marbles!
All marbles that are given away 6 + 12 + 27 = 45
All marbles left 8 + 16 + 32 = 56
Andy and Marcus each bought the same storybook and both of them started reading their books on the same day. Marcus read 3 fewer pages than Andy each day. Marcus took 80 days to finish his storybook while Andy took 30 days fewer than him. Find the number of pages in the storybook.
Marcus => 80(x - 3) Andy => 30x
80(x - 3) = 30x
x = 4.8 (The number of pages Andy read each day.)
Number of pages in a book=> 4.8 * 30 = 144