Question

Write an inequality and solve it. Rebecca bought one goldfish for $32. She spends the rest of her money on guppy fish. She starts with $80. Each guppy costs $6. Write an inequality for the number of guppies she can purchase. Part A: Write an inequality to represent the situation. Use g for the variable.

Answer 1

According to the information given in the statement you have

`32+6g\le80`

Where g is the number of guppy fish that Rebecca can purchase.

Now, solving the inequation you have

`\begin{gathered} 32+6g\le80 \\ \text{ Subtract }32\text{ from both sides of the inequality} \\ 32+6g-32\le80-32 \\ 6g\le48 \\ \text{ Divide }by\text{ 6 on both sides of the inequality} \\ (6g)/(6)\le(48)/(6) \\ g\le6 \end{gathered}`

Therefore, Rebecca can purchase 6 guppy fish.