Question

A calculator has 50 keys in five colors: gray, black, blue, yellow, and green.

a. There are 6 gray keys for every 7 blue keys. Write the possible ratios for gray to blue keys.
b. There are 6 gray keys for every 11 black keys. Write the possible ratios for gray to black keys.
c. There are 6 gray keys for every 11 black keys. Also, the number of black keys is 2 less than twice the number of gray keys. Use your answer to part (b) to determine how many gray keys and how many black keys there are.
d. There is 1 yellow key for every 1 green key. How many keys of each color are there?

Answer 1

A ratio is written in the form a : b. In this case, there are 6 gray keys for every 7 blue keys. So the ratio for gray to blue keys would be 6:7.

Since 6 and 7 don't have common factors, the ratio 6:7 cannot be simplified further.

So the ratio for gray to blue keys is 6:7.