you purchase 12 packages of wrapping paper. large packages cost $7 & small cost $4.50. Write & simplify an expression that represents the total cost if n of the 12 packages are large
N Large packages.
(12-N) Small packages.
Cost = 7n + 4.5(12-n)
Cost = 7n + 54-4.5n = 2.5n + 54.
To represent the total cost, we need to calculate the cost of the large packages and the cost of the small packages separately.
For the large packages, we have:
Cost of one large package = $7
Number of large packages = n (where n is the number of large packages you purchase)
So, the cost of the large packages can be calculated by multiplying the cost of one large package ($7) by the number of large packages (n):
Cost of large packages = 7n
For the small packages, we have:
Cost of one small package = $4.50
Number of small packages = 12 - n (since the total number of packages is 12 and we have already purchased n large packages)
So, the cost of the small packages can be calculated by multiplying the cost of one small package ($4.50) by the number of small packages (12 - n):
Cost of small packages = 4.50 * (12 - n)
To find the total cost, we need to add the cost of the large packages and the cost of the small packages:
Total cost = Cost of large packages + Cost of small packages
Substituting the expressions we derived earlier:
Total cost = 7n + 4.50 * (12 - n)
This expression represents the total cost if n of the 12 packages are large.