Question

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.

Answer 1

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

`80-35-12=33`

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

`6x<33 \iff x<(33)/(6)=5.5`

So, the can buy at most 5 guppy fishes.

Answer 2

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 :

`35+12+6* x\leq80\\\\\Rightarrow 47+6x\leq80\\\\\Rightarrow 6x\leq 80-47\\\\\Rightarrow 6x\leq33\\\\\Rightarrow x\leq(33)/(6)\\\\\Rightarrow x\leq5.5.`

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