Aboy had half as many 5 cent coins as he had 1 cent coins. if he changed all the 1 cent coins to 2 cent coins at the bank, he would have: a. 2/5 as many coins b. 2/3 as many coins, c. 5/6 as many or c, 5/8 as many. i do know that it is 2/3 more, i just want an in depth explanation.

Where y represents the total number of coins and 0.5x represents the number of 5 cent coins and x represents the number of 1 cent coins...
y = 0.5x + x
= 1.5x

1/2x + 2x = 2.5x
If he exchanged 1 cent coins for 2 cent coins, he would have half the same number of 2 cent coins as he had for 5 cent coins. Instead of 2x, you would have "x" and...
y = 0.5x + 0.5x = x
y = 1x

Divide slopes..
1 / 1.5 = 2/3 or 0.67.

The answer is 2/3 so Choice B is the answer. 

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: