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 $x$.

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

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nataliechou123 nataliechou123 · Answer 2 · 2021-02-17T16:04:30+01:00

Answer:

12x-34 or -34+12x

Step-by-step explanation:

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

Hope this helped! :)