Question

Your group fundraiser has a goal of $75 to pay for a new piece of equipment. You areselling pencils (p) for $0.50 and bracelets (b) for $1.00.Write an inequality that shows what combinations of sales will exceed your goal, so youhave a little left over.

Answer 1

INFORMATION:

We know that:

- Your group fundraiser has a goal of $75 to pay for a new piece of equipment.

- You are selling pencils (p) for $0.50 and bracelets (b) for $1.00.

And we must write an inequality that shows what combinations of sales will exceed your goal

STEP BY STEP EXPLANATION:

To find the inequality, we need to analyze the situation:

- The goal of the group is $75

- You are selling pencils (p) for $0.50 and bracelets (b) for $1.00

So, if you want to exceed your goal, the quantity of collected money must be greater than 75.

The quantity of collected money will be the money from the sold pencils and bracelets.

From sold pencils, you will obtain $0.50 x p, where p represents the number of sold pencils

From sold bracelets, you will obtain $1.00 x b, where b represents the number of sold bracelets

Finally, the inequality that shows what combinations of sales will exceed your goal would be

`\begin{gathered} 0.50p+1.00b>75 \\ \text{ Simplifying,} \\ 0.50p+b\gt75 \end{gathered}`

ANSWER:

the inequality that shows what combinations of sales will exceed your goal would be

`0.50p+b\gt75`

Where, p is the number of sales of pencils and b is the number of sales of bracelets.