In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 3/4 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 30 shiny igneous rocks, how many total rocks does Cliff have? Choose the correct choice from the following options:
A) 30	B) 45	C) 60	D) 120	E) 135
We can start with the known quantity and then go on to find the others.   Shiny igneous ricks are 30. These are (3/4) of total igneous rocks.   (2/3)*Total igneous rocks = 30   Total igneous rocks = 30 * (4/3)= 
<gadget id="calculator">30 * (4/3)</gadget>
<output>40</output>
40   Total sedimentary rocks= 2*Total igneous rocks = 2*40= 
<gadget id="calculator">2*40</gadget>
<output>80</output>
80   Total number of rocks= 40 + 80= 
<gadget id="calculator">40 + 80</gadget>
<output>120</output>
120   Answer (120)
<result>D</result>
In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 3/4 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 30 shiny igneous rocks, how many total rocks does Cliff have?