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Rebecca bought one gold fish for $35
and one star fish for $12. She spends the
rest of the money on guppy fish. She starts
with $80. Each guppy fish costs $6. Write
and solve an inequality to determine the
number of guppies she can purchase.

Respuesta :

since Rebecca started with $80 and spends $35 and $12 on the gold fish and star fish, she's left with

[tex]80-35-12=33[/tex]

dollars for guppy fishes.

Since each of them costs $6, x guppy fishes will cost $6x. This amount must be less than 33, so we have

[tex]6x<33 \iff x<\dfrac{33}{6}=5.5[/tex]

So, the can buy at most 5 guppy fishes.

Answer:  The required number of guppies that she can purchase is 5.

Step-by-step explanation:  Given that Rebecca bought one gold fish for $35  and one star fish for $12. She spends the  rest of the money on guppy fish.

She starts  with $80. Each guppy fish costs $6.

We are to write and solve an  inequality to determine the  number of guppies she can purchase.

Let x represents the number of guppy fishes that she can purchase.

Then, according to the given information, the inequality can be written and solved as follows :

[tex]35+12+6\times x\leq80\\\\\Rightarrow 47+6x\leq80\\\\\Rightarrow 6x\leq 80-47\\\\\Rightarrow 6x\leq33\\\\\Rightarrow x\leq\dfrac{33}{6}\\\\\Rightarrow x\leq5.5.[/tex]

Thus, the required number of guppies that she can purchase is 5.