Angelina has a collection of nickels and dimes worth $4.65. If she has 70 nickels and dimes, how many of each does she have?

Question

Angelina has a collection of nickels and dimes worth $4.65. If she has 70 nickels and dimes, how many of each does she have?

in progress 0
Harper 1 day 2021-09-15T18:59:37+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T19:01:21+00:00

    She has 47 nickels and 23 dimes.

    Step-by-step explanation:

    Worth of dimes and nickels = $4.65 = 4.65*100 = 465 cents

    No. of coins = 70

    1 nickel = 5 cents

    1 dime = 10 cents

    Let,

    x be the number of nickels.

    y be the number of dimes.

    According to given statement;

    x+y=70    Eqn 1

    5x+10y=465    Eqn 2

    Multiplying Eqn 1 by 5

    5(x+y=70)\\5x+5y=350\ \ \ Eqn\ 3\\

    Subtracting Eqn 3 from Eqn 2

    (5x+10y)-(5x+5y)=465-350\\5x+10y-5x-5y=115\\5y=115\\

    Dividing both sides by 5

    \frac{5y}{5}=\frac{115}{5}\\y=23

    Putting y=23 in Eqn 1

    x+23=70\\x=70-23\\x=47

    She has 47 nickels and 23 dimes.

    Keywords: linear equation, elimination method

    Learn more about linear equations at:

    • brainly.com/question/8358304
    • brainly.com/question/8540796

    #LearnwithBrainly

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )