Question

Sabrina is in charge of ordering t-shirts for the Freshman council to sell at school. She has to decide whether to order the shirts from Custom T-shirts or Fancy T-shirts. Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered. Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered.
a. Find the cost of ordering 3 shirts for each company.



b. Write and solve an equation that gives the number of t-shirts for which the two companies will charge the same amount

Answer 1

Answer:

(a)The cost of ordering 3 Custom T-shirts is $39.

The cost of ordering 3 Fancy T-shirts is $75

(b)15 T-Shirts

Step-by-step explanation:

(a)Let n be the number of T-Shirts ordered

Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.

Cost, C=15+8n

Therefore, the cost of ordering 3 Custom T-shirts

= 15+8(3)

=15+24

=$39

Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered

Cost, C=60+5n

Therefore, the cost of ordering 3 Fancy T-shirts

= 60+5(3)

=60+15

=$75

(b)We are to determine the number, n at which the costs, C will be equal.

If C=60+5n and C=15+8n are equal, then:

60+5n=15+8n

8n-5n=60-15

3n=45

n=15

Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.