Question

Help me please!! Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Carly is making greeting cards, which she will sell by the box at an arts fair. She paid $48 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?


Carly's sales and expenditures will be $__ if she sells ___boxes of cards of card

Answer 1

• Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.

Explanation:

We know that:

• 48 + 8(b) = Carly's expenditure
• 10(b) = Carly's expenditure
• 48 + 8b = 10b
• B = Boxes of cards

Work:

• 48 + 8b = 10b
• => 48 + 8b - 8b = 10b - 8b
• => 48 = 2b
• => b = 24

Now, let's substitute the value of b into any equation.

• 10(24)
• => 240

Hence, Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.

Hoped this helped.

`BrainiacUser1357`