Kazuko has a beach ball. It is colored with six vertical sections, in order: white, orange, yellow, blue, red, and green. She spins the ball, and she notices that the colors whir by very fast. If the first color to go by is white and the ball spins around so that 500 colors go by, what is the 500th color?

I got orange I'm not sure. Can someone double check me?

correct.

assuming that the ball isn't spinning in reverse, in which case it's green.

To determine the 500th color, we need to figure out the pattern that repeats after every 6 colors, as there are six sections on the beach ball.

Since the colors on the beach ball are arranged in the order: white, orange, yellow, blue, red, and green, we can observe that the pattern repeats after every 6 colors.

To find the 500th color, we can divide 500 by 6 to see how many complete repetitions of the pattern there are, and then find the remainder to determine which color it corresponds to in that repetition.

500 ÷ 6 = 83 remainder 2.

This means that there are 83 complete repetitions of the pattern, and we are left with the 2nd color in the repetition.

Therefore, the 500th color would be orange.

To determine the 500th color in Kazuko's spinning beach ball, we need to understand the pattern of colors and how they repeat.

Kazuko's beach ball has six vertical sections with colors in the following order: white, orange, yellow, blue, red, and green. Let's call each color section a "cycle" since it repeats.

By spinning the ball, the colors whiz by very fast, meaning that each rotation of the ball covers one complete cycle of colors. In this case, since 500 colors go by, it suggests that the ball completes multiple rotations.

To find out which color will be the 500th, we can divide 500 by the number of colors in one full cycle, which is 6. Taking the remainder will help us determine the position within the cycle.

500 divided by 6 equals 83 with a remainder of 2. This means that after 83 complete cycles, there will be an additional 2 colors.

Starting from the first color, which is white, we count 2 colors forward within the cycle. The second color in the cycle after white is orange, and the third color is yellow.

Therefore, the 500th color will be yellow.