1973 AHSME Problems/Problem 24
Problem
The check for a luncheon of 3 sandwiches, 7 cups of coffee and one piece of pie came to . The check for a luncheon consisting of 4 sandwiches, 10 cups of coffee and one piece of pie came to at the same place. The cost of a luncheon consisting of one sandwich, one cup of coffee, and one piece of pie at the same place will come to
Solution
Let be the cost of one sandwich, be the cost of one cup of coffee, and be the price of one piece of pie. With the information,
Subtract the first equation from the second to get
That means . Substituting it back in the second equation results in.
Solving for yields . With the substitutions, the cost of one sandwich, one cup of coffee, and one slice of pie is .
See Also
1973 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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