To find: One group of people purchased 10 hot dogs and 5 soft drinks at a cost of . A second group bought 7 hot dogs and 4 soft drinks at a cost of . What is the cost of a single hot dog? A single soft drink?
Answer to Problem 64AYU
The price of hot dog is and price of soft drink is .
Explanation of Solution
Given:
One group of people purchased 10 hot dogs and 5 soft drinks at a cost of . A second group bought 7 hot dogs and 4 soft drinks at a cost of .
Calculation:
Let hotdogs be and let soft drinks be .
-----1
-----2
Multiplying 4 on both sides of equation 1 and multiplying 5 on both sides of equation 2 we have.
-----3
-----4
Subtracting equation 3 from equation 4 we have,
Using the value of to find , using equation 1 we have,
Therefore, the price of hot dog is and price of soft drink is .
Chapter 11 Solutions
Precalculus
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