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## 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?

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## Answers ( )

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

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 5

Putting y=23 in Eqn 1

She has 47 nickels and 23 dimes.Keywords:linear equation, elimination methodLearn more about linear equations at:#LearnwithBrainly