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7. Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.(Answer the following questions based on this information.)7a. Write a system of equations to represent the relationships between thenumber of nickels n, the number of quarters q, and the dollar amount inthis situation.Your answer7b. How many nickels and quarters are in Kiran's pocket? Show yourreasoning. *

7 Kiran Has 27 Nickels And Quarters In His Pocket Worth A Total Of 275Answer The Following Questions Based On This Information7a Write A System Of Equations To class=

Sagot :

Step 1:

A nickel is worth 5 cents. A dime is worth 10 cents. A quarter is worth 25 cents.

5 cents = $0.05

25 cents = $0.25

Step 2:

Number of nickels n = x

Number of quarters q = 27 - x

Step 3

Total cost of 27 nickels and quarters in his pocket, worth a total of $2.75.

[tex]\begin{gathered} 0.05x\text{ + 0.25(27-x) = 2.75} \\ 5x\text{ + 25(27 - x) = 275} \\ 5x\text{ + 675 - 25x = 275} \\ 675\text{ - 275 = 25x - 5x} \\ 400\text{ = 20x} \\ \text{x = }\frac{400}{20} \\ \text{ x = 20} \end{gathered}[/tex]

Number of nickels n = 20

Number of quarters q = 27 - 20 = 7

Final answer

Number of nickels n = 20

Number of quarters q = 7

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