Michelle has $14 in purse in 5cent 10cent and 20cent coins. If she has an equal number of each coin type, how many coins does she have in her purse

Verified Answer :

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There would be 40 20cent coins, 40 10cent coins, and 40 5cent coins.

Answer:

She have 40 coins in her purse

Step-by-step explanation:

1 dollar = 100 cents

14 dollar = 1400 cents

We are given that she has an equal number of each coin type

Let x be the no. of coins

Value of x coins of 5 cents = 5x

Value of x coins of 10 cents = 10x

Value of x coins of 20 cents = 20x

So, \(5x+10x+20x=1400\)

\(35x=1400\)

\(x=\frac{1400}{35}\)

\(x=40\)

Hence  she have 40 coins in her purse