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jmc

prealgebra senior

Problem

I am going to buy exotic fruits. Dragonfruit costs dollars. Starfruit is five dollars less expensive than rambutan. Rambutan costs dollars more than dragonfruit. How much does it cost to buy one rambutan, two starfruit, and three dragonfruit? Your answer will be an expression that depends on .
Solution
We know that one dragonfruit is dollars. This means that one rambutan is dollars. Then, one starfruit is dollars. We want to find . Distributing these three smaller expressions gives us . Finally, we combine like terms, yielding . We obtain , or .
Final answer
12x -34