Five friends order sandwiches at a restaurant. Each person orders either a turkey or a ham sandwich. The turkey costs $2.50 and the ham costs $3.00. If the bill is $14.00 without tax or tip, how many sandwiches of each type did the group purchase?

Question

Ethan Adkins · Accepted Answer

2 turkey ad 3 ham were ordered.

Define the number of each type of sandwich ordered Let the number of turkey s'wiches = x The number of ham s'wiches = (5-x) The cost of each type and the total are known: #rArr # make an equation. #2.5 xx x + 3 xx (5-x) = 14# #2.5x + 15 - 3x = 14# #-0.5x = -1# (divide by -0.5) #x = 2# 2 turkey s'wiches and 3 ham were ordered. Check: # 2 xx 2.5 + 3 xx 3# = # 5 + 9 = 14#

Avery Alexander · Answer

undefined Let $ t $ represent the number of turkey sandwiches and $ h $ represent the number of ham sandwiches. Given that the total cost is $14.00, we can form the equation $ 2.50t + 3.00h = 14.00 $. To find the values of $ t $ and $ h $, we need to solve this equation.