1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timama [110]
3 years ago
12

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group either ordered one soup or one sandwich . T

he sandwiches cost $7.75 and the soup cost $4.50 if the total cost of all the food was $113.50 how many sandwiches where ordered?
Mathematics
1 answer:
kkurt [141]3 years ago
8 0
Let's say a = number of ordered soups, b = number of ordered sandwiches.

Then 4.5a + 7.75b = 113.50, and a and b are integers between 0 and 18 inclusive.

How do we tackle this? If all ordered soup, the cost would be $81, so we'll have at least 4 sandwiches. If all ordered sandwich, the cost would be $139.5, so at most 15 sandwiches were ordered. You also know an even number of sandwiches was ordered, to let the price end at 50 cent.

If you brute-force from 4,6,8,10,12 to 14 sandwiches, you find the answer at 10 sandwiches and 8 soups.

10*7.75 + 8*4.50 = 113.50


You might be interested in
3/5 - 1/2 this is all I need right now
Vlada [557]

The correct answer is

\frac{1}{10}

3 0
3 years ago
Read 2 more answers
Which number completes the system of linear inequalities<br> represented by the graph?
vaieri [72.5K]

Answer: What graph?

Step-by-step explanation:

3 0
3 years ago
Emma naked a cake for her class she cut the cake into equal size slices after passing out the slices of cake to her friends , th
dalvyx [7]

the answer is 32 because 32×(1/4) or 32/4 is 8 there for 8 is a fourth of 32

6 0
3 years ago
What is the inverse of <br><br> X^2-2x+3
schepotkina [342]
So you have x, then you square it to get x^2, then you minus 2x, then +3
The inverse is going backwards so you -3 then +2x then square root x
So you get square root x + 2x -3
I'm pretty sure this is right, sorry if I'm wrong.
4 0
3 years ago
The sum of two numbers is 50 and the difference is 10. What are the numbers?
Black_prince [1.1K]

Answer:

I believe the answer is 20 and 30

5 0
3 years ago
Other questions:
  • Find the inverse of the following function: f(x) = 5/ square root of x, for x &gt; 0
    12·2 answers
  • Find the X intercept show work
    10·1 answer
  • How would you solve #2 and #3?
    12·1 answer
  • At an animal shelter there are 15 dogs 12 cats 3 snakes and 5 parakeets which animal has 80% of the number of another animal
    13·1 answer
  • Find the area of the parallelogram. 30 m2 25 m2 15 m2 44 m2
    13·1 answer
  • What is the quotient of 59,584 divided 14
    6·1 answer
  • Joe is 9 years older than susan their ages is a total of 41 how old are they
    7·2 answers
  • 2/5- square root of 3<br><br> simplify
    13·1 answer
  • 4,582 x 10<br> Written in place value form
    5·1 answer
  • Find the missing angle.<br> 40°<br> 80°<br> X<br><br> What is the missing angle?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!