solve each problem by setting up and solving an appropriate system of equations.Cindy has 30 coins,consisting of dimes and quarters,that total $5.10

Ayaana Buck

Ayaana Buck

Answered question

2021-09-02

solve each problem by setting up and solving an appropriate system of equations. Cindy has 30 coins, consisting of dimes and quarters, that total $5.10. How many coins of each kind does she have?

Answer & Explanation

broliY

broliY

Skilled2021-09-03Added 97 answers

Given :
The number of coins she have is 30 consisting of dimes and quarters. Total of
the coins is $5.10
To find :
The number of coins of dimes and quarters. Let the number of dimes be x, and the number of quarters be y.

Total number of coins she have is 30 consisting of dimes and quarters.

x+y=30 .........(1)

Total number of coins is $5.10 convert into cents, that is 510 cents.

10x+25y=510 ............(2)

Solve equation (1) for x in terms of y. x=30y

Substitute 30y for x in equation (2),

10(30y)+25y

=51030010y+25y

=51015y=210y

=14

Substitute y=14 in equation (2),

x+14=30

x=16

Thus, the number of dimes is 16 and the number of quarters is 14.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-14Added 2605 answers

Answer is given below (on video)

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