SOLUTION: Jessica is making rice crispy squares. The mixture will have 4.5 times as many kilograms of rice crispies as of marshmallows. The marshmallows cost $5/kg and rice crispies $10/kg.

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Question 1080281: Jessica is making rice crispy squares. The mixture will have 4.5 times as many kilograms of rice crispies as of marshmallows. The marshmallows cost $5/kg and rice crispies $10/kg. If Jessica has $100 to spend, what mass of marshmallows and rice crispies should she buy?
Note: Please include a "Let's statement(s)", and equations. Thank you :)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = kg of marshmallows
+4.5x+ = kg of rice crispies
---------------------------------
+5x+%2B+10%2A4.5x+=+100+
+5x+%2B+45x+=+100+
+50x+=+100+
+x+=+2+
and
+4.5x+=+4.5%2A2+
+4.5x+=+9+
-------------------
She should buy 2 kg of marshmallows
She should buy 9 kg of rice crispies
-------------------------------------
check:
+5x+%2B+10%2A4.5x+=+100+
+5%2A2+%2B+10%2A9+=+100+
+10+%2B+90+=+100+
+100+=+100+
OK