Question

Scarves cost $12 and snowmen pins cost $2. Shipping is $3 per order. The expression 12n + 2n + 3 gives the cost, in dollars, of buying scarves with pins for n people. Which is another way to write this expression?

Answer 1

14n + 3

Explanation:

cost per 1 scarf = $12

Cost per 1 pin = $2

number of scarves n people = 12(n) = 12n

number of pins for n people = 2(n) = 2n

Shipping = $3 per order

Total cost for the n number of scarves and pins = 12n + 2n + 3

Another way to write this is by simplifying:

12n + 2n + 3

collect like terms:

12n + 2n = 14n

12n + 2n + 3 = n(12 + 2) + 3

= 14n + 3

Hence, another way to write the expression is 14n + 3