Question

I am going to buy exotic fruits. Dragonfruit costs $x-4$ dollars. Starfruit is five dollars less expensive than rambutan. Rambutan costs $2x$ 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 $x$.

Answer 1

12x-34 or -34+12x

Explanation:

We know that one dragonfruit is
`$x-4$` dollars. This means that one rambutan is
`$(x-4) + 2x = 3x-4$` dollars. Then, one starfruit is
`$(3x-4) -5 = 3x-9$` dollars. We want to find
`$1 \cdot (3x-4) + 2 \cdot (3x-9) + 3 \cdot (x-4)$`. Distributing these three smaller expressions gives us
`$(3x-4) + (6x-18) + (3x-12)$`. Finally, we combine like terms, yielding
`$(3x + 6x + 3x) + (-4 + -18 + -12) = (12x) + (-34)$`. We obtain
`$\boxed{12x -34}$` or
`$\boxed{-34 + 12x}$`.

Hope this helped! :)

Answer 2

We can represent the Rambutan as x-4+2x or 3x-4 because it costs 2x dollars more than the Dragonfruit.

We can represent the Starfruit as 3x-4-5 or 3x-9 because it costs 5 dollars less than the Rambutan

Therefore the overall equation would be:
(3x-4)+2(3x-9)+3(x-4) (distribute)
3x-4+6x-18+3x-12 (combine like terms)
12x-34

Hope this helps