Question

Hannah finds purple, blue and silver rocks while exploring. 2/3 of the rocks are purple and 3/4 of the remainder are blue. If there are 3 silver rocks, how many space rocks does Hannah have

Answer 1

There were 36 space rocks in total.

Explanation:

To answer this, you will determine what fraction of the original rocks are silver by using the information about the other two colors.

If 2/3 of them area purple, than 1/3 are not.

If 3/4 of the remaining 1/3 is blue, than 3/4 x 1/3 = 3/12 of then are blue.

2/3 are purple, 3/12 of them are blue, the remaining is silver,

1 - 2/3 - 3/12

1 - 8/12 - 3/12 = 1/12

1/12 of the rocks are silver. If 3 are silver, write an equation that needs solved.

1/12r = 3

r = 36 rocks

There were 36 space rocks in total.