SOLUTION: Greg had some pens.2/5 of the pens were blue and 1/6 of the remainder were black.the rest were red and green.there were 12 more red pens than blue pens.if there were 24 green pens,

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Question 942145: Greg had some pens.2/5 of the pens were blue and 1/6 of the remainder were black.the rest were red and green.there were 12 more red pens than blue pens.if there were 24 green pens,
how many red and blue pens did greg have
how many pens did greg have altogether
thank you

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+a+ = number of blue pens
+b+ = number of black pens
+c+ = number of red pend
+d+ = number of green pens
+e+=+a+%2B+b+%2B+c+%2B+d+
----------------------------
+%28+2%2F5%29%2Ae+=+a+
+%281%2F6%29%2A%283%2F5%29%2Ae+=+b+
+c+=+a+%2B+12+
+c+=+%282%2F5%29%2Ae+%2B+12+
+d+=+24+
---------------------
+e+=+a+%2B+b+%2B+c+%2B+d+
+e+=+%28+2%2F5%29%2Ae+%2B+%281%2F10%29%2Ae+%2B+%282%2F5%29%2Ae+%2B+12+%2B+24+
+e+-+%289%2F10%29%2Ae+=+36+
+%281%2F10%29%2Ae+=+36+
+e+=+360+
---------------
+%28+2%2F5%29%2Ae+=+a+
+a+=+%282%2F5%29%2A360+
+a+=+144+
----------------
+b+=+%281%2F10%29%2Ae+
+b+=+36+
----------------
+c+=+a+%2B+12+
+c+=+144+%2B+12+
+c+=+156+
----------------
Greg has 156 red pens and 144 blue pens
He has 360 pens altogether
------------------------------------
check:
+e+=+a+%2B+b+%2B+c+%2B+d+
+360+=+144+%2B+36+%2B+156+%2B+24+
+360+=+360+
OK