In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 4/5 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 40 shiny igneous rocks, how many total rocks does Cliff have?
Choose the correct choice from the following choices.
A) 30	B) 150	C) 60	D) 90	E) 135
We can start with the known quantity and then go on to find the others.   Shiny igneous ricks are 40. These are (4/5) of total igneous rocks.   (4/5)*Total igneous rocks = 40   Total igneous rocks = 40 * (5/4)= 
<gadget id="calculator">40 * (5/4)</gadget>
<output>50</output>
50   Total sedimentary rocks= 2*Total igneous rocks = 2*50= 
<gadget id="calculator">2*50</gadget>
<output>100</output>
100   Total number of rocks= 50 + 100= 
<gadget id="calculator">50 + 100</gadget>
<output>150</output>
150   Answer (150)
<result>B</result>
In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 4/5 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 40 shiny igneous rocks, how many total rocks does Cliff have?