Question

50. A card shop sells wrapping paper for $5 per roll and $3 for flat wrap. In one week the shop sold 80 packages of

wrapping for $300. How many rolls of wrapping paper were sold?
A. 20
B. 30
C. 50
D. 60

Answer 1

To solve for the number of wrapping paper rolls sold, two equations were formulated and solved: a sales equation and a quantity equation. Upon manipulating the equations, it was found that the card shop sold 30 rolls of wrapping paper. The correct answer is option: B. 30

Step-by-step explanation:

The question asks for the number of rolls of wrapping paper sold, given that a card shop sold wrapping paper at two different prices and made total sales of $300 from 80 packages.

Let's denote the number of rolls sold as 'r' and the number of flat wraps as 'f'. We have two products priced differently, rolls at $5 each and flat wrap at $3 each, and a total sales equation based on these prices and quantities sold.

The system of equations based on the given information is:

• 5r + 3f = 300 (Total sales)
• r + f = 80 (Total packages)

To solve for 'r', we can first rearrange the second equation to get f = 80 - r, and then substitute this into the first equation:

1. 5r + 3(80 - r) = 300
2. 5r + 240 - 3r = 300
3. 2r = 300 - 240
4. 2r = 60
5. r = 30

Thus, the card shop sold 30 rolls of wrapping paper.