A motel rents double rooms at $31 per day, assignment help

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tveyltvey123

Mathematics

Description

Solve the problem by using a system of equations.

1. A motel rents double rooms at $31 per day and single rooms at $24 per day. If 25 rooms were rented one day for a total of $698, how many rooms of each kind were rented?

______ single rooms

______ double rooms

2. Sam invested $1850, part of it at 6% and the rest at 8% yearly interest. The yearly income on the 8% investment was $38 more than twice the income from the 6% investment. How much did he invest at each rate?

Investment at 6% $_____

Investment at 8% $_____

Solve the problem by setting up and solving a system of three linear equations in three variables.
3. A box contains $8.40 in nickels, dimes, and quarters. There are 49 coins in all, and the sum of the numbers of nickels and dimes is 3 less than the number of quarters. How many coins of each kind are there?

_____ nickels

_____ dimes

_____ quarters

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Explanation & Answer

3)Let the number of nickels is x, dime is y and quart...


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