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Question

Indigo has standard fare system. It charges $25 to check a bag and $15 to upgrade to priority boarding. Given the condition Indigo collected $3,065 in baggage and priority boarding fees from 145 travel services on two flights. Determine the system of equations of bags q and the number of priority boarding upgrades b purchased on the two flights?

A
b+p=145×225b+15p=3,065×2
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B
b+p=14525b+15p=3,065
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C
b+p=14515b+25p=3,065
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D
b+p=145215b+25p=3,0652
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Solution

The correct option is B b+p=14525b+15p=3,065
Let b be the number of bags and p be the number of priority boarding upgrades.
Since it is given that It charges $25 to check a bag and $15 to upgrade to priority boarding and Indigo collected $3,065 in baggage, therefore, the equation becomes:
25b+15p=3065
Also, the priority boarding fees from 145 travel services on two flights, then the equation becomes:
b+p=145
Hence, the system of equations is
25b+15p=3065
b+p=145

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