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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


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Tickets to a local basketball team's games cost $12 each. Brendon and Ed each bought tickets to four games. How much did they sp
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Step-by-step explanation:

Step 1

Derive the expression for the total amount Brendon spent on the tickets as follows;

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cost per ticket=$12

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Step 2

Derive the expression for the total amount Ed spent on the tickets as follows;

total amount=cost per ticket×number of tickets bought

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replacing;

total amount=(12×4)=48

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Step 3

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replacing;

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total amount=cost per ticket×number of tickets bought

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