A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich The sandwiches come $7.75 each and the soups come $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered? What type of formula would I use and how?I
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

so let b for sandwitches and s for soups

then will be b+s=18 (1)  and 7.75b+4.5s = 113.50   from the (1) we have b=18-s replace this price to (2)

we get 7.75(18-s)+4.5s=113.5    139.5-7.75s+4.5s=113.5  -3.25s=113.5-139.5   -3.25s=-26   s=-26/-3.25

s=8    so soups = 8 and sandwitches =10
by Level 5 User (13.1k points)

Related questions

1 answer
asked Aug 8, 2012 in Word Problem Answers by anonymous | 487 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,849 questions
91,601 answers
2,225 comments
15,995 users